What is the Greatest Common Factor (GCF) of 8 and 10?
2
4
5
8
The Greatest Common Factors (GCF) of 8 and 10 is 2. This is determined by identifying the largest numbers that divides both 8 and 10 without leaving a remainder. The prime factorization of 8 is 2³ (2 × 2 × 2) and the prime factorization of 10 is 2 × 5. The only common prime factor is 2, making it the GCF of 8 and 10.
Prime Factorization of 8:
Prime Factorization of 10:
Identify Common Factors:
Determine the GCF:
Divide the larger number (10) by the smaller number (8):
10 ÷ 8 gives a quotient of 1 and a remainder of 2.
Replace the larger number with the smaller number (8) and the smaller number with the remainder (2):
Now, divide 8 by 2.
8 ÷ 2 gives a quotient of 4 and a remainder of 0.
When the remainder is 0, the divisor at this step is the GCF:
The last divisor, which is 2, is the GCF.
Therefore, the GCF of 8 and 10 is 2.
List the factors of 8:
Factors of 8: 1, 2, 4, 8
List the factors of 10:
Factors of 10: 1, 2, 5, 10
Identify the common factors:
Common factors of 8 and 10: 1, 2
Determine the greatest common factor:
The greatest common factor is 2.
Therefore, the GCF of 8 and 10 is 2.
The GCF is important for simplifying fractions, solving problems involving ratios, and finding common denominators.
No, the GCF of 8 and 10 cannot be greater than 2 because 2 is the largest number that divides both 8 and 10 without leaving a remainder.
The GCF is used in real-life situations such as dividing items into smaller sections, comparing quantities, and simplifying mathematical problems involving fractions.
Yes, many calculators have a function to find the GCF of two numbers. Simply input the numbers 8 and 10 and use the GCF or GCD function.
The lowest common factor of 8 and 10 is 1, as it is the smallest positive integer that divides both numbers without leaving a remainder.
The Greatest Common Factors (GCF) of 8 and 10 is 2. This is determined by identifying the largest numbers that divides both 8 and 10 without leaving a remainder. The prime factorization of 8 is 2³ (2 × 2 × 2) and the prime factorization of 10 is 2 × 5. The only common prime factor is 2, making it the GCF of 8 and 10.
Prime Factorization Method
Long Division Method
Listing Common Factors
Prime Factorization of 8:
8 = 2 × 2 × 2 (or 2³)
Prime Factorization of 10:
10 = 2 × 5
Identify Common Factors:
The common prime factor between 8 and 10 is 2.
Determine the GCF:
Since the only common prime factor is 2, the GCF of 8 and 10 is 2.
Divide the larger number (10) by the smaller number (8):
10 ÷ 8 gives a quotient of 1 and a remainder of 2.
Replace the larger number with the smaller number (8) and the smaller number with the remainder (2):
Now, divide 8 by 2.
8 ÷ 2 gives a quotient of 4 and a remainder of 0.
When the remainder is 0, the divisor at this step is the GCF:
The last divisor, which is 2, is the GCF.
Therefore, the GCF of 8 and 10 is 2.
List the factors of 8:
Factors of 8: 1, 2, 4, 8
List the factors of 10:
Factors of 10: 1, 2, 5, 10
Identify the common factors:
Common factors of 8 and 10: 1, 2
Determine the greatest common factor:
The greatest common factor is 2.
Therefore, the GCF of 8 and 10 is 2.
The GCF is important for simplifying fractions, solving problems involving ratios, and finding common denominators.
No, the GCF of 8 and 10 cannot be greater than 2 because 2 is the largest number that divides both 8 and 10 without leaving a remainder.
The GCF is used in real-life situations such as dividing items into smaller sections, comparing quantities, and simplifying mathematical problems involving fractions.
Yes, many calculators have a function to find the GCF of two numbers. Simply input the numbers 8 and 10 and use the GCF or GCD function.
The lowest common factor of 8 and 10 is 1, as it is the smallest positive integer that divides both numbers without leaving a remainder.
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What is the Greatest Common Factor (GCF) of 8 and 10?
2
4
5
8
Which number is a common factor of both 8 and 10?
3
5
2
7
How many common factors do 8 and 10 have?
1
2
3
4
What is the smallest common factor of 8 and 10?
1
2
4
5
Which of the following is not a common factor of 8 and 10?
1
2
4
5
The GCF of 8 and 10 is also a factor of which of the following numbers?
8
10
20
All of the above
If you multiply the GCF of 8 and 10 by 4, what do you get?
6
8
10
12
Which of the following pairs of numbers has the same GCF as 8 and 10?
12 and 18
15 and 25
14 and 21
16 and 20
What is the GCF of 8, 10, and 20?
2
4
8
10
The sum of the GCF of 8 and 10 and the smallest prime number is:
3
4
5
7
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