GCF (HCF) of 6 and 90

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What is the Greatest Common Divisor of 6 and 90?

Answer

GCF (HCF) of 6 and 90 is
6

Common factors: 1, 2, 3, 6

6 divides 90 (90 ÷ 6 = 15), so the GCF is the smaller number itself.

6 = 2 × 3

90 = 2 × 32 × 5

Prime690Lowest power
2222
33323
5—5—

— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.

GCF = 2 × 3 = 6

See Also

FAQ

What is the Greatest Common Divisor of 6 and 90?

GCF (HCF) of 6 and 90 is 6

How to find the GCF of 6 and 90?

You can find the GCF of 6 and 90 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 6 and 90 is 6.

What prime factors do 6 and 90 share?

The prime factorizations of 6 and 90 have 2 × 3 in common, and multiplying those shared primes gives 6 — exactly the greatest common factor.

How does the GCF reduce the fraction 6/90?

Divide the numerator and the denominator by the GCF 6: 6 ÷ 6 = 1 and 90 ÷ 6 = 15. So 6/90 in lowest terms is 1/15.