GCF (HCF) of 27 and 75

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Greatest Common Factor of
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What is the Greatest Common Divisor of 27 and 75?

Answer

GCF (HCF) of 27 and 75 is
3

Common factors: 1, 3

3 divides both: 27 ÷ 3 = 9, 75 ÷ 3 = 25 — and 9 and 25 share no factor but 1, so no larger number divides both.

27 = 33

75 = 3 × 52

Prime2775Lowest power
33333
5—52—

— = 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
27303
27311
27321
27333
27341
27351
27369
27381
27393
27401
27423
27431
27459
27461
27483
27491
27501
27513
275427
27561
27573
27603
27639
27641
27753
278127
27909
271001
2710827
271251

FAQ

What is the Greatest Common Divisor of 27 and 75?

GCF (HCF) of 27 and 75 is 3

How to find the GCF of 27 and 75?

You can find the GCF of 27 and 75 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 27 and 75 is 3.

What prime factors do 27 and 75 share?

The prime factorizations of 27 and 75 have 3 in common, and multiplying those shared primes gives 3 — exactly the greatest common factor.

How does the GCF reduce the fraction 27/75?

Divide the numerator and the denominator by the GCF 3: 27 ÷ 3 = 9 and 75 ÷ 3 = 25. So 27/75 in lowest terms is 9/25.

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