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GCF (HCF) of 27 and 108

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What is the Greatest Common Divisor of 27 and 108?

Answer

GCF (HCF) of 27 and 108 is

27

Common factors: 1, 3, 9, 27

27 divides 108 (108 ÷ 27 = 4), so the GCF is the smaller number itself.

27 = 3³

108 = 2² × 3³

Prime	27	108	Lowest power
2	—	2²	—
3	3³	3³	3³

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

GCF = 3³ = 27

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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 108. The GCF of 27 and 108 is 27 — 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	55	1
27	56	1
27	57	3
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 108?

GCF (HCF) of 27 and 108 is 27

How to find the GCF of 27 and 108?

You can find the GCF of 27 and 108 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 27 and 108 is 27.

What prime factors do 27 and 108 share?

The prime factorizations of 27 and 108 have 3 × 3 × 3 in common, and multiplying those shared primes gives 27 — exactly the greatest common factor.

How does the GCF reduce the fraction 27/108?

Divide the numerator and the denominator by the GCF 27: 27 ÷ 27 = 1 and 108 ÷ 27 = 4. So 27/108 in lowest terms is 1/4.