SBP-Program

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Highest common factor of 132 and 220

How to find the highest common factor of 132 and 220?

Find the hcf of 132 and 220

Problem. Find the highest common factor of 132 and 220.

Solution.

The prime factorization of 132

132 =
2 * 2 * 3 * 11

See 132 prime factorization.

The prime factorization of 220

220 =
2 * 2 * 5 * 11

See 220 prime factorization.

Find the common prime factors of 132 and 220

132 –> (2, 2, 3, 11)
220 –> (2, 2, 5, 11)

The common factors of 132 and 220 are

2, 2, 11

The product of these common prime factors is the highest common factor of 132 and 220

2 * 2 * 11 = 44

The hcf of 132 and 220 is 44

hcf(132, 220) = 44

The problem is solved.