SBP-Program

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Find the greatest common factor of 234 and 264

How to find the greatest common factor of 234 and 264?

Find the gcf of 234 and 264

Problem. Find the greatest common factor of 234 and 264.

Solution.

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

The prime factorization of 234

234 =
2 * 3 * 3 * 13

See 234 prime factorization.

The prime factorization of 264

264 =
2 * 2 * 2 * 3 * 11

See 264 prime factorization.

Find the common prime factors of these two numbers 234 and 264

234 –> (2, 3, 3, 13)
264 –> (2, 2, 2, 3, 11)

The common factors of 234 and 264 are

2, 3

The product of these common prime factors is the greatest common factor of 234 and 264

2 * 3 = 6

The gcf of 234 and 264 is 6

gcf(234, 264) = 6

The problem is solved.