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GCF (HCF) of 27 and 57

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 27 and 57?

Answer

GCF (HCF) of 27 and 57 is

3

Common factors: 1, 3

3 divides both: 27 ÷ 3 = 9, 57 ÷ 3 = 19 — and 9 and 19 share no factor but 1, so no larger number divides both.

27 = 3³

57 = 3 × 19

Prime	27	57	Lowest power
3	3³	3	3
19	—	19	—

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

GCF = 3

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See Also

Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers

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What is the GCF (HCF) of 27 and 57. The GCF of 27 and 57 is 3 — the biggest number that can divide both integers. Step-by-step GCF (GCD) calculation by factoring.

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GCF Table

Number 1	Number 2	GCF
27	31	1
27	32	1
27	33	3
27	34	1
27	35	1
27	36	9
27	38	1
27	39	3
27	40	1
27	42	3
27	43	1
27	45	9
27	46	1
27	48	3
27	49	1
27	50	1
27	51	3
27	54	27
27	56	1
27	57	3
27	59	1
27	60	3
27	63	9
27	64	1
27	75	3
27	81	27
27	90	9
27	100	1
27	108	27
27	125	1

FAQ

What is the Greatest Common Divisor of 27 and 57?

GCF (HCF) of 27 and 57 is 3

How to find the GCF of 27 and 57?

You can find the GCF of 27 and 57 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 27 and 57 is 3.

What prime factors do 27 and 57 share?

The prime factorizations of 27 and 57 have 3 in common, and multiplying those shared primes gives 3 — exactly the greatest common factor.

How does the GCF reduce the fraction 27/57?

Divide the numerator and the denominator by the GCF 3: 27 ÷ 3 = 9 and 57 ÷ 3 = 19. So 27/57 in lowest terms is 9/19.