What is the greatest common factor of 4880 and 128?

Answer 1

Answer: 16

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

The factors of 128 are 1, 2, 4, 8, 16, 32, 64, and 128.

The factors of 4880 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 61, 80, 122, 244, 305, 488, 610, 976, 1220, 2440, and 4880.

The common factors are 1, 2, 4, 8, and 16. Therefore, the greatest common factor is 16.

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

The prime factors of 128 are 2, 2, 2, 2, 2, 2, and 2.

The prime factors of 4880 are 2, 2, 2, 2, 5, and 61.

The prime factors in common are 2, 2, 2, and 2, so the greatest common factor is 2 x 2 x 2 x 2 = 16.

Another method is to use the Euclidean algorithm.

4880 ÷ 128 = 38 remainder 16

128 ÷ 16 = 8 with no remainder

Therefore, since there was no remainder when dividing by 16, the greatest common factor of 128 and 4880 is 16.

Answer 2

The GCF is 16.