GCF (HCF) of 20 and 48

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Greatest Common Factor of
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What is the Greatest Common Divisor of 20 and 48?

Answer

GCF (HCF) of 20 and 48 is
4

Common factors: 1, 2, 4

4 divides both: 20 ÷ 4 = 5, 48 ÷ 4 = 12 — and 5 and 12 share no factor but 1, so no larger number divides both.

20 = 22 × 5

48 = 24 × 3

Prime2048Lowest power
2222422
3—3—
55——

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

GCF = 22 = 4

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GCF Table

Number 1Number 2GCF
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
209010
2010020
201555
201655
2019010

FAQ

What is the Greatest Common Divisor of 20 and 48?

GCF (HCF) of 20 and 48 is 4

How to find the GCF of 20 and 48?

You can find the GCF of 20 and 48 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 20 and 48 is 4.

What prime factors do 20 and 48 share?

The prime factorizations of 20 and 48 have 2 × 2 in common, and multiplying those shared primes gives 4 — exactly the greatest common factor.

How does the GCF reduce the fraction 20/48?

Divide the numerator and the denominator by the GCF 4: 20 ÷ 4 = 5 and 48 ÷ 4 = 12. So 20/48 in lowest terms is 5/12.

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