GCF (HCF) of 48 and 120

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What is the Greatest Common Divisor of 48 and 120?

Answer

GCF (HCF) of 48 and 120 is
24

Common factors: 1, 2, 3, 4, 6, 8, 12, 24

24 divides both: 48 ÷ 24 = 2, 120 ÷ 24 = 5 — and 2 and 5 share no factor but 1, so no larger number divides both.

48 = 24 × 3

120 = 23 × 3 × 5

Prime48120Lowest power
2242323
3333
5—5—

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

GCF = 23 × 3 = 24

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GCF Table

Number 1Number 2GCF
481212
483216
483612
48491
48502
48513
48524
48531
48546
48568
48573
48582
48591
486012
486416
48666
487224
48753
488016
48813
488412
48906
489648
48993
481004
4812024
4812816
4816824
484506

FAQ

What is the Greatest Common Divisor of 48 and 120?

GCF (HCF) of 48 and 120 is 24

How to find the GCF of 48 and 120?

You can find the GCF of 48 and 120 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 48 and 120 is 24.

What prime factors do 48 and 120 share?

The prime factorizations of 48 and 120 have 2 × 2 × 2 × 3 in common, and multiplying those shared primes gives 24 — exactly the greatest common factor.

How does the GCF reduce the fraction 48/120?

Divide the numerator and the denominator by the GCF 24: 48 ÷ 24 = 2 and 120 ÷ 24 = 5. So 48/120 in lowest terms is 2/5.

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