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Highest common factor of 102 and 153

How to find the highest common factor of 102 and 153?

Find the hcf of 102 and 153

Problem. Find the highest common factor of 102 and 153.

Solution.

The prime factorization of 102

102 = 2 * 3 * 17

See 102 prime factorization.

The prime factorization of 153

153 = 3 * 3 * 17

See 153 prime factorization.

Find the common prime factors of 102 and 153

102 –> (2, 3, 17)
153 –> (3, 3, 17)

The common factors of 102 and 153 are

3, 17

The product of these common prime factors is the highest common factor of 102 and 153

3 * 17 = 51

The hcf of 102 and 153 is 51

hcf(102, 153) = 51

The problem is solved.