SBP-Program

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Find the greatest common factor of 210 and 350

How to find the greatest common factor of 210 and 350?

Find the gcf of 210 and 350

Problem. Find the greatest common factor of 210 and 350.

Solution.

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

The prime factorization of 210

210 =
2 * 3 * 5 * 7

See 210 prime factorization.

The prime factorization of 350

350 =
2 * 5 * 5 * 7

See 350 prime factorization.

Find the common prime factors of these two numbers 210 and 350

210 –> (2, 3, 5, 7)
350 –> (2, 5, 5, 7)

The common factors of 210 and 350 are

2, 5, 7

The product of these common prime factors is the greatest common factor of 210 and 350

2 * 5 * 7 = 70

The gcf of 210 and 350 is 70

gcf(210, 350) = 70

The problem is solved.