SBP-Program

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Find the greatest common factor of 5796 and 19992

How to find the greatest common factor of 5796 and 19992?

Find the gcf of 5796 and 19992

Problem. Find the greatest common factor of 5796 and 19992.

Solution.

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

The prime factorization of 5796

5796 =
2 * 2 * 3 * 3 * 7 * 23

See 5796 prime factorization.

The prime factorization of 19992

19992 =
2 * 2 * 2 * 3 * 7 * 7 * 17

See 19992 prime factorization.

Find the common prime factors of these two numbers 5796 and 19992

5796 –> (2, 2, 3, 3, 7, 23)
19992 –> (2, 2, 2, 3, 7, 7, 17)

The common factors of 5796 and 19992 are

2, 2, 3, 7

The product of these common prime factors is the greatest common factor of 5796 and 19992

2 * 2 * 3 * 7 = 84

The gcf of 5796 and 19992 is 84

gcf(5796, 19992) = 84

The problem is solved.