GCF (HCF) of 20 and 55

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 20 and 55?

Answer

GCF (HCF) of 20 and 55 is
5

Common factors: 1, 5

5 divides both: 20 ÷ 5 = 4, 55 ÷ 5 = 11 — and 4 and 11 share no factor but 1, so no larger number divides both.

20 = 22 × 5

55 = 5 × 11

Prime2055Lowest power
222——
5555
11—11—

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

GCF = 5

See Also

FAQ

What is the Greatest Common Divisor of 20 and 55?

GCF (HCF) of 20 and 55 is 5

How to find the GCF of 20 and 55?

You can find the GCF of 20 and 55 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 20 and 55 is 5.

What prime factors do 20 and 55 share?

The prime factorizations of 20 and 55 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.

How does the GCF reduce the fraction 20/55?

Divide the numerator and the denominator by the GCF 5: 20 ÷ 5 = 4 and 55 ÷ 5 = 11. So 20/55 in lowest terms is 4/11.