GCF (HCF) of 75 and 297

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Greatest Common Factor of
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What is the Greatest Common Divisor of 75 and 297?

Answer

GCF (HCF) of 75 and 297 is
3

Common factors: 1, 3

3 divides both: 75 ÷ 3 = 25, 297 ÷ 3 = 99 — and 25 and 99 share no factor but 1, so no larger number divides both.

75 = 3 × 52

297 = 33 × 11

Prime75297Lowest power
33333
552——
11—11—

— = 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
752823
752831
752841
7528515
752861
752871
752883
752891
752905
752913
752921
752931
752943
752955
752961
752973
752981
752991
7530075
753011
753021
753033
753041
753055
753063
753071
753081
753093
753105
753111

FAQ

What is the Greatest Common Divisor of 75 and 297?

GCF (HCF) of 75 and 297 is 3

How to find the GCF of 75 and 297?

You can find the GCF of 75 and 297 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 75 and 297 is 3.

What prime factors do 75 and 297 share?

The prime factorizations of 75 and 297 have 3 in common, and multiplying those shared primes gives 3 — exactly the greatest common factor.

How does the GCF reduce the fraction 75/297?

Divide the numerator and the denominator by the GCF 3: 75 ÷ 3 = 25 and 297 ÷ 3 = 99. So 75/297 in lowest terms is 25/99.

See Also