SBP-Program

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Find the greatest common factor of 88 and 220

How to find the greatest common factor of 88 and 220?

Find the gcf of 88 and 220

Problem. Find the greatest common factor of 88 and 220.

Solution.

See How to find the greatest common factor of two numbers?

The prime factorization of 88

88 =
2 * 2 * 2 * 11

See 88 prime factorization.

The prime factorization of 220

220 =
2 * 2 * 5 * 11

See 220 prime factorization.

Find the common prime factors of these two numbers 88 and 220

88 –> (2, 2, 2, 11)
220 –> (2, 2, 5, 11)

The common factors of 88 and 220 are

2, 2, 11

The product of these common prime factors is the greatest common factor of 88 and 220

2 * 2 * 11 = 44

The gcf of 88 and 220 is 44

gcf(88, 220) = 44

The problem is solved.