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GCF of 8 and 10

What is the GCF of 8 and 10? - The GCF of 8 and 10 is 2. Follow the step by step instructions on how to find the great common factor of 8 and 10.

Greatest Common Factor of 8 and 10

Number 1:
Number 2:

What is the greatest common factor of 8 and 10?

Answer: 2

How to find the gcf of 8 and 10?

Method 1 - Listing Factors

To find the gcf of 8 and 10, we first need to find the factors of 8 and 10 and then choose the greatest common factor that are dividable by both 8 and 10.

Factors of 8 = 1, 2, 4, 8
Factors of 10 = 1, 2, 5, 10

The greatest common factor of 8 and 10 is 2, because 2 is the largest number that is divisible by both numbers.





Method 2 - Prime Factorization

Another method to find the greatest common factor of 8 and 10 is by using the prime factorization method.
To use prime factorization, we first need to find the prime factors of 8 and 10, and then get the GCF by multiplying all the common prime factors from the two sets.

Prime factorization of 8 = 2 x 2 x 2
Prime factorization of 10 = 2 x 5
Common prime factors = 2 = 2

GCF of 7 and 10
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