GCF (HCF) of 18 and 58

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What is the Greatest Common Divisor of 18 and 58?

Answer

GCF (HCF) of 18 and 58 is
2

Common factors: 1, 2

2 divides both: 18 ÷ 2 = 9, 58 ÷ 2 = 29 — and 9 and 29 share no factor but 1, so no larger number divides both.

18 = 2 × 32

58 = 2 × 29

Prime1858Lowest power
2222
332——
29—29—

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

GCF = 2

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GCF Table

Number 1Number 2GCF
18382
18393
18402
18426
18431
18459
18462
18471
18486
18491
18502
18513
185418
18551
18562
18582
18591
18606
18639
18642
18666
18702
187218
18753
18786
18802
18819
18846
18882
18966

FAQ

What is the Greatest Common Divisor of 18 and 58?

GCF (HCF) of 18 and 58 is 2

How to find the GCF of 18 and 58?

You can find the GCF of 18 and 58 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 18 and 58 is 2.

What prime factors do 18 and 58 share?

The prime factorizations of 18 and 58 have 2 in common, and multiplying those shared primes gives 2 — exactly the greatest common factor.

How does the GCF reduce the fraction 18/58?

Divide the numerator and the denominator by the GCF 2: 18 ÷ 2 = 9 and 58 ÷ 2 = 29. So 18/58 in lowest terms is 9/29.

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