GCF (HCF) of 6 and 100

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What is the Greatest Common Divisor of 6 and 100?

Answer

GCF (HCF) of 6 and 100 is
2

Common factors: 1, 2

2 divides both: 6 ÷ 2 = 3, 100 ÷ 2 = 50 — and 3 and 50 share no factor but 1, so no larger number divides both.

6 = 2 × 3

100 = 22 × 52

Prime6100Lowest power
22222
33——
5—52—

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

GCF = 2

See Also

FAQ

What is the Greatest Common Divisor of 6 and 100?

GCF (HCF) of 6 and 100 is 2

How to find the GCF of 6 and 100?

You can find the GCF of 6 and 100 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 6 and 100 is 2.

What prime factors do 6 and 100 share?

The prime factorizations of 6 and 100 have 2 in common, and multiplying those shared primes gives 2 — exactly the greatest common factor.

How does the GCF reduce the fraction 6/100?

Divide the numerator and the denominator by the GCF 2: 6 ÷ 2 = 3 and 100 ÷ 2 = 50. So 6/100 in lowest terms is 3/50.