What is the greatest common factor of 10 and 14?

Answer 1

The GCF of 10 and 14 is 2.

One way to determine the greatest common factor is to find all the factors of the numbers and compare them.

The factors of 10 are 1, 2, 5, and 10.

The factors of 14 are 1, 2, 7, and 14.

The common factors are 1 and 2. Therefore, the greatest common factor is 2.

The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together.

The prime factors of 10 are 2 and 5.

The prime factors of 14 are 2 and 7.

The prime factors in common are a single 2, so the greatest common factor is 2.

Another way to approach this is to look at the difference between 10 and 14, which is 4. The greatest common factor of two numbers cannot be larger than the difference between the two numbers and must be a factor of the difference. Neither 10 nor 14 are divisible by 4, so look at its other factors, 2 and 1. Since both 10 and 14 are divisible by 2, the greatest common factor is 2. 2 because 2x5=10 and 2x7=14. The prime factors of 10 are 2 and 5

The prime factors of 14 are 2 and 7 2 is the only factor commopn to both, so it is the Highest Common Factor (HCF).

Answer 2

The GCF is 2.

Answer 3

The GCF is 2.

Answer 4

2.