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

Prime27108Lowest power
2—22—
3333333

— = 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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GCF Table

Number 1Number 2GCF
27311
27321
27333
27341
27351
27369
27381
27393
27401
27423
27431
27459
27461
27483
27491
27501
27513
275427
27551
27561
27573
27603
27639
27641
27753
278127
27909
271001
2710827
271251

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.

See Also