GCF (HCF) of 18 and 20

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 18 and 20?

Answer

GCF (HCF) of 18 and 20 is
2

Common factors: 1, 2

2 divides both: 18 ÷ 2 = 9, 20 ÷ 2 = 10 — and 9 and 10 share no factor but 1, so no larger number divides both.

18 = 2 × 32

20 = 22 × 5

Prime1820Lowest power
22222
332——
5—5—

— = 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 20?

GCF (HCF) of 18 and 20 is 2

How to find the GCF of 18 and 20?

You can find the GCF of 18 and 20 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 18 and 20 is 2.

What prime factors do 18 and 20 share?

The prime factorizations of 18 and 20 have 2 in common, and multiplying those shared primes gives 2 — exactly the greatest common factor.

How does the GCF reduce the fraction 18/20?

Divide the numerator and the denominator by the GCF 2: 18 ÷ 2 = 9 and 20 ÷ 2 = 10. So 18/20 in lowest terms is 9/10.