What is the Greatest Common Factor (GCF) of 75 and 100?
5
10
15
25
The greatest common factor (GCF) of 75 and 100 is 25. To determine the GCF, you can identify the common factors of both numbers, which are 1, 5, and 25. Among these, 25 is the largest number that divides both 75 and 100 without leaving a remainder. Therefore, the GCF of 75 and 100 is 25, indicating that 25 is the greatest common divisors shared by both numbers.
To find the greatest common factor (GCF) of 75 and 100 using the prime factorization method:
Step 1: Prime factorize both numbers:
For 75: 75 = 3 × 5²
For 100: 100 = 2²×5²
Step 2: Identify common prime factors and their lowest powers:
Step 3: Multiply the common prime factors with their lowest powers:
GCF = 5²= 25
Therefore, the greatest common factor (GCF) of 75 and 100 by prime factorization method is 25.
To find the greatest common factor (GCF) of 75 and 100 using the long division method:
Step 1: Start by dividing the larger number (100) by the smaller number (75).
100 ÷ 75 = 1 with a remainder of 25.
Step 2: Then, take the divisor (75) and divide it by the remainder (25).
75 ÷ 25 =3.
Step 3: Continue this process until there is no remainder.
25 ÷ 3 = 8 with a remainder of 1.
3 ÷ 1 = 3.
1 ÷ 3 = 0.
Step 4: The last divisor before reaching 0 is the greatest common factor (GCF).
GCF = 25.
To find the greatest common factor (GCF) of 75 and 100 by listing common factors:
Step 1: List the factors of each number.
Factors of 75: 1, 3, 5, 15, 25, 75
Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100
Step 2: Identify the common factors. Common factors: 1, 5, 25
Step 3: Determine the greatest common factor. GCF=25.
Therefore, the greatest common factor (GCF) of 75 and 100 by listing common factors is 25.
Can you find the GCF of 75 and 100 using a calculator?
Yes, the techniques used to find the GCF of 75 and 100 are generally applicable to finding the GCF of any two numbers.
The GCF of 75 and 100 is the greatest common divisor, as it represents the largest divisor common to both numbers.
Yes, most calculators have functions to calculate the GCF of two numbers.
75 and 100 have three common factors: 1, 5, and 25.
You can calculate the GCF of 75 and 100 using methods such as prime factorization, listing common factors, or long division.
The greatest common factor (GCF) of 75 and 100 is 25. To determine the GCF, you can identify the common factors of both numbers, which are 1, 5, and 25. Among these, 25 is the largest number that divides both 75 and 100 without leaving a remainder. Therefore, the GCF of 75 and 100 is 25, indicating that 25 is the greatest common divisors shared by both numbers.
To find the greatest common factor (GCF) of 75 and 100 using the prime factorization method:
Step 1: Prime factorize both numbers:
For 75: 75 = 3 × 5²
For 100: 100 = 2²×5²
Step 2: Identify common prime factors and their lowest powers:
Both 75 and 100 have a common prime factor of 5², but 100 also has an additional factor of 2².
Step 3: Multiply the common prime factors with their lowest powers:
GCF = 5²= 25
Therefore, the greatest common factor (GCF) of 75 and 100 by prime factorization method is 25.
To find the greatest common factor (GCF) of 75 and 100 using the long division method:
Step 1: Start by dividing the larger number (100) by the smaller number (75).
100 ÷ 75 = 1 with a remainder of 25.
Step 2: Then, take the divisor (75) and divide it by the remainder (25).
75 ÷ 25 =3.
Step 3: Continue this process until there is no remainder.
25 ÷ 3 = 8 with a remainder of 1.
3 ÷ 1 = 3.
1 ÷ 3 = 0.
Step 4: The last divisor before reaching 0 is the greatest common factor (GCF).
GCF = 25.
To find the greatest common factor (GCF) of 75 and 100 by listing common factors:
Step 1: List the factors of each number.
Factors of 75: 1, 3, 5, 15, 25, 75
Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100
Step 2: Identify the common factors. Common factors: 1, 5, 25
Step 3: Determine the greatest common factor. GCF=25.
Therefore, the greatest common factor (GCF) of 75 and 100 by listing common factors is 25.
Can you find the GCF of 75 and 100 using a calculator?
Yes, the techniques used to find the GCF of 75 and 100 are generally applicable to finding the GCF of any two numbers.
The GCF of 75 and 100 is the greatest common divisor, as it represents the largest divisor common to both numbers.
Yes, most calculators have functions to calculate the GCF of two numbers.
75 and 100 have three common factors: 1, 5, and 25.
You can calculate the GCF of 75 and 100 using methods such as prime factorization, listing common factors, or long division.
Text prompt
Add Tone
10 Examples of Public speaking
20 Examples of Gas lighting
What is the Greatest Common Factor (GCF) of 75 and 100?
5
10
15
25
Which of the following numbers is a factor of both 75 and 100?
7
10
15
25
What is the smallest prime factor of the GCF of 75 and 100?
2
3
5
7
The GCF of 75 and 100 is a multiple of which of the following numbers?
3
5
7
9
How many factors does the GCF of 75 and 100 have?
2
3
4
5
Which pair of numbers has the same GCF as 75 and 100?
50 and 75
60 and 80
25 and 100
35 and 70
If you subtract the GCF of 75 and 100 from 75, what is the result?
45
50
55
60
What is the result of dividing the GCF of 75 and 100 by 5?
1
3
5
7
Which of the following numbers is not divisible by the GCF of 75 and 100?
50
75
100
125
What is the sum of the GCF of 75 and 100 and the number 10?
30
35
40
45
Before you leave, take our quick quiz to enhance your learning!