GCF (HCF) of 18 and 250

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What is the Greatest Common Divisor of 18 and 250?

Answer

GCF (HCF) of 18 and 250 is
2

Common factors: 1, 2

2 divides both: 18 ÷ 2 = 9, 250 ÷ 2 = 125 — and 9 and 125 share no factor but 1, so no larger number divides both.

18 = 2 × 32

250 = 2 × 53

Prime18250Lowest power
2222
332——
5—53—

— = 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 18 and 250?

GCF (HCF) of 18 and 250 is 2

How to find the GCF of 18 and 250?

You can find the GCF of 18 and 250 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 18 and 250 is 2.

What prime factors do 18 and 250 share?

The prime factorizations of 18 and 250 have 2 in common, and multiplying those shared primes gives 2 — exactly the greatest common factor.

How does the GCF reduce the fraction 18/250?

Divide the numerator and the denominator by the GCF 2: 18 ÷ 2 = 9 and 250 ÷ 2 = 125. So 18/250 in lowest terms is 9/125.