GCF (HCF) of 20 and 40

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What is the Greatest Common Divisor of 20 and 40?

Answer

GCF (HCF) of 20 and 40 is
20

Common factors: 1, 2, 4, 5, 10, 20

20 divides 40 (40 ÷ 20 = 2), so the GCF is the smaller number itself.

20 = 22 × 5

40 = 23 × 5

Prime2040Lowest power
2222322
5555

GCF = 22 × 5 = 20

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GCF Table

Number 1Number 2GCF
20155
20211
20222
20231
20244
20255
20262
20271
20284
203010
20324
20355
20364
20382
20391
204020
20422
20444
20455
20471
20484
205010
20555
20564
20582
20591
206020
207010
20755
20844

FAQ

What is the Greatest Common Divisor of 20 and 40?

GCF (HCF) of 20 and 40 is 20

How to find the GCF of 20 and 40?

You can find the GCF of 20 and 40 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 20 and 40 is 20.

What prime factors do 20 and 40 share?

The prime factorizations of 20 and 40 have 2 × 2 × 5 in common, and multiplying those shared primes gives 20 — exactly the greatest common factor.

How does the GCF reduce the fraction 20/40?

Divide the numerator and the denominator by the GCF 20: 20 ÷ 20 = 1 and 40 ÷ 20 = 2. So 20/40 in lowest terms is 1/2.

See Also