What is the greatest common factor of 40 and 50?

Answer 1

The GCF of 40 and 50 is 10.

One way to approach this is to look at the difference between 40 and 50, which is 10. 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. Since both 40 and 50 are divisible by 10, the greatest common factor is 10.

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

The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40.

The factors of 50 are 1, 2, 5, 10, 25, and 50.

The common factors are 1, 2, 5, and 10. Therefore, the greatest common factor is 10.

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

The prime factors of 40 are 2, 2, 2, and 5.

The prime factors of 50 are 2, 5, and 5.

The prime factors in common are 2 and 5, so the greatest common factor is 2 x 5 = 10.
10 is the highest common factor of 40 and 50
The GCF is 10.

Answer 2

The GCF is 10.

Answer 3

The GCF is 10.