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Highest common factor of 175 and 300

How to find the highest common factor of 175 and 300?

Find the hcf of 175 and 300

Problem. Find the highest common factor of 175 and 300.

Solution.

The prime factorization of 175

175 = 5 * 5 * 7

See 175 prime factorization.

The prime factorization of 300

300 =
2 * 2 * 3 * 5 * 5

See 300 prime factorization.

Find the common prime factors of 175 and 300

175 –> (5, 5, 7)
300 –> (2, 2, 3, 5, 5)

The common factors of 175 and 300 are

5, 5

The product of these common prime factors is the highest common factor of 175 and 300

5 * 5 = 25

The hcf of 175 and 300 is 25

hcf(175, 300) = 25

The problem is solved.