GCF (HCF) of 57 and 60

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What is the Greatest Common Divisor of 57 and 60?

Answer

GCF (HCF) of 57 and 60 is
3

Common factors: 1, 3

3 divides both: 57 ÷ 3 = 19, 60 ÷ 3 = 20 — and 19 and 20 share no factor but 1, so no larger number divides both.

57 = 3 × 19

60 = 22 × 3 × 5

Prime5760Lowest power
2—22—
3333
5—5—
1919——

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

GCF = 3

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GCF Table

Number 1Number 2GCF
57453
57461
57471
57483
57491
57501
57513
57521
57531
57543
57551
57561
575757
57581
57591
57603
57611
57621
57633
57641
57651
57663
57671
57681
57693
57701
57711
57723
57731
57741

FAQ

What is the Greatest Common Divisor of 57 and 60?

GCF (HCF) of 57 and 60 is 3

How to find the GCF of 57 and 60?

You can find the GCF of 57 and 60 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 57 and 60 is 3.

What prime factors do 57 and 60 share?

The prime factorizations of 57 and 60 have 3 in common, and multiplying those shared primes gives 3 — exactly the greatest common factor.

How does the GCF reduce the fraction 57/60?

Divide the numerator and the denominator by the GCF 3: 57 ÷ 3 = 19 and 60 ÷ 3 = 20. So 57/60 in lowest terms is 19/20.

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