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GCF of 10 and 16

What is the GCF of 10 and 16? - The GCF of 10 and 16 is 2. Follow the step by step instructions on how to find the great common factor of 10 and 16.

Greatest Common Factor of 10 and 16

Number 1:
Number 2:

What is the greatest common factor of 10 and 16?

Answer: 2

How to find the gcf of 10 and 16?

Method 1 - Listing Factors

To find the gcf of 10 and 16, we first need to find the factors of 10 and 16 and then choose the greatest common factor that are dividable by both 10 and 16.

Factors of 10 = 1, 2, 5, 10
Factors of 16 = 1, 2, 4, 8, 16

The greatest common factor of 10 and 16 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 10 and 16 is by using the prime factorization method.
To use prime factorization, we first need to find the prime factors of 10 and 16, and then get the GCF by multiplying all the common prime factors from the two sets.

Prime factorization of 10 = 2 x 5
Prime factorization of 16 = 2 x 2 x 2 x 2
Common prime factors = 2 = 2

GCF of 9 and 16
GCF of 11 and 16
GCF of 10 and 17
GCF of 10 and 15

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