What is the Greatest Common Factor (GCF) of 15 and 25?
3
5
15
25
To determine the greatest common factor (GCF) of 15 and 25, we can use various methods. One approach is by listing the factors of each number. For 15, the factors are 1, 3, 5, and 15. For 25, the factors are 1, 5, and 25. The common factor shared by both numbers is 5. Thus, the GCF of 15 and 25 is 5. Another method is through prime factorization. Breaking down 15 into prime factors yields 3×5, while 25 breaks down into 5×5. Identifying the common prime factors, we find 5. Hence, regardless of the method employed, the GCF of 15 and 25 remains 5, representing the largest number that divides both without a remainder.
The greatest common factor (GCF) of 15 and 25 is 5. By listing factors or prime factorization, 5 emerges as the largest number dividing both without remainder, serving as their common divisor.
To find the greatest common factor (GCF) of 15 and 25 using prime factorization, we break down each number into its prime factors.
For 15: 15 = 3 × 5
For 25 : 25 = 5 × 5
The common prime factor is 5. Therefore, the GCF of 15 and 25 is 5.
Step 1: Divide the larger number (25) by the smaller number (15). 25 ÷ 15 = 1 with a remainder of 10
Step 2: Divide the divisor (15) by the remainder (10). 15 ÷ 10 = 1 with a remainder of 5
Step 3: Divide the divisor (10) by the remainder (5). 10 ÷ 5 = 2 with no remainder
Step 4: Since the remainder is now 0, stop. The divisor from the last division, which is 5, is the greatest common factor (GCF) of 15 and 25.
Therefore, the GCF of 15 and 25 by the long division method is 5.
To find the greatest common factor (GCF) of 15 and 25 by listing common factors, we identify numbers that divide evenly into both. For 15, the factors are 1, 3, 5, and 15. For 25, the factors are 1, 5, and 25. The largest common factor is 5. Therefore, the GCF of 15 and 25 is 5.
The GCF is found by identifying the largest number that divides both 15 and 25 without leaving a remainder, which in this case is 5.
The common factors of 15 and 25 are the numbers that divide both evenly, which are 1 and 5.
It’s because 5 is the largest number that divides both 15 and 25 without any remainder.
It can be used to simplify fractions, find common denominators, and solve various mathematical problems involving these two numbers.
It can be useful in various situations like scaling measurements, determining common factors in sets of items, or dividing resources equally among groups.
To determine the greatest common factor (GCF) of 15 and 25, we can use various methods. One approach is by listing the factors of each number. For 15, the factors are 1, 3, 5, and 15. For 25, the factors are 1, 5, and 25. The common factor shared by both numbers is 5. Thus, the GCF of 15 and 25 is 5. Another method is through prime factorization. Breaking down 15 into prime factors yields 3×5, while 25 breaks down into 5×5. Identifying the common prime factors, we find 5. Hence, regardless of the method employed, the GCF of 15 and 25 remains 5, representing the largest number that divides both without a remainder.
The greatest common factor (GCF) of 15 and 25 is 5. By listing factors or prime factorization, 5 emerges as the largest number dividing both without remainder, serving as their common divisor.
Prime Factorization Method
Long Division Method
Listing Common Factors
To find the greatest common factor (GCF) of 15 and 25 using prime factorization, we break down each number into its prime factors.
For 15: 15 = 3 × 5
For 25 : 25 = 5 × 5
The common prime factor is 5. Therefore, the GCF of 15 and 25 is 5.
Step 1: Divide the larger number (25) by the smaller number (15). 25 ÷ 15 = 1 with a remainder of 10
Step 2: Divide the divisor (15) by the remainder (10). 15 ÷ 10 = 1 with a remainder of 5
Step 3: Divide the divisor (10) by the remainder (5). 10 ÷ 5 = 2 with no remainder
Step 4: Since the remainder is now 0, stop. The divisor from the last division, which is 5, is the greatest common factor (GCF) of 15 and 25.
Therefore, the GCF of 15 and 25 by the long division method is 5.
To find the greatest common factor (GCF) of 15 and 25 by listing common factors, we identify numbers that divide evenly into both. For 15, the factors are 1, 3, 5, and 15. For 25, the factors are 1, 5, and 25. The largest common factor is 5. Therefore, the GCF of 15 and 25 is 5.
The GCF is found by identifying the largest number that divides both 15 and 25 without leaving a remainder, which in this case is 5.
The common factors of 15 and 25 are the numbers that divide both evenly, which are 1 and 5.
It’s because 5 is the largest number that divides both 15 and 25 without any remainder.
It can be used to simplify fractions, find common denominators, and solve various mathematical problems involving these two numbers.
It can be useful in various situations like scaling measurements, determining common factors in sets of items, or dividing resources equally among groups.
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What is the Greatest Common Factor (GCF) of 15 and 25?
3
5
15
25
Which of the following is a common factor of both 15 and 25?
3
4
5
6
How many common factors do 15 and 25 have?
1
2
3
4
What is the smallest common factor of 15 and 25?
1
2
3
5
Which of the following numbers is not a common factor of both 15 and 25?
1
3
5
15
The GCF of 15 and 25 is a factor of which of the following numbers?
10
15
20
30
If you multiply the GCF of 15 and 25 by 3, what do you get?
10
15
20
25
Which of the following pairs of numbers has the same GCF as 15 and 25?
10 and 20
20 and 30
5 and 15
25 and 35
What is the GCF of 15, 25, and 35?
2
5
7
10
The sum of the GCF of 15 and 25 and the smallest prime number is:
5
6
7
8
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