GCF (HCF) of 18 and 48

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Greatest Common Factor of
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What is the Greatest Common Divisor of 18 and 48?

Answer

GCF (HCF) of 18 and 48 is
6

Common factors: 1, 2, 3, 6

6 divides both: 18 ÷ 6 = 3, 48 ÷ 6 = 8 — and 3 and 8 share no factor but 1, so no larger number divides both.

18 = 2 × 32

48 = 24 × 3

Prime1848Lowest power
22242
33233

GCF = 2 × 3 = 6

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GCF Table

Number 1Number 2GCF
18306
18311
18322
18333
18342
18351
183618
18371
18382
18393
18402
18426
18431
18459
18462
18486
18491
18502
185418
18551
18562
18582
18591
18606
18639
18642
18666
18702
187218
18753

FAQ

What is the Greatest Common Divisor of 18 and 48?

GCF (HCF) of 18 and 48 is 6

How to find the GCF of 18 and 48?

You can find the GCF of 18 and 48 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 18 and 48 is 6.

What prime factors do 18 and 48 share?

The prime factorizations of 18 and 48 have 2 × 3 in common, and multiplying those shared primes gives 6 — exactly the greatest common factor.

How does the GCF reduce the fraction 18/48?

Divide the numerator and the denominator by the GCF 6: 18 ÷ 6 = 3 and 48 ÷ 6 = 8. So 18/48 in lowest terms is 3/8.

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