GCF (HCF) of 125 and 175

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What is the Greatest Common Divisor of 125 and 175?

Answer

GCF (HCF) of 125 and 175 is
25

Common factors: 1, 5, 25

25 divides both: 125 ÷ 25 = 5, 175 ÷ 25 = 7 — and 5 and 7 share no factor but 1, so no larger number divides both.

125 = 53

175 = 52 × 7

Prime125175Lowest power
5535252
7—7—

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

GCF = 52 = 25

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GCF Table

Number 1Number 2GCF
1251605
1251611
1251621
1251631
1251641
1251655
1251661
1251671
1251681
1251691
1251705
1251711
1251721
1251731
1251741
12517525
1251761
1251771
1251781
1251791
1251805
1251811
1251821
1251831
1251841
1251855
1251861
1251871
1251881
1251891

FAQ

What is the Greatest Common Divisor of 125 and 175?

GCF (HCF) of 125 and 175 is 25

How to find the GCF of 125 and 175?

You can find the GCF of 125 and 175 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 125 and 175 is 25.

What prime factors do 125 and 175 share?

The prime factorizations of 125 and 175 have 5 × 5 in common, and multiplying those shared primes gives 25 — exactly the greatest common factor.

How does the GCF reduce the fraction 125/175?

Divide the numerator and the denominator by the GCF 25: 125 ÷ 25 = 5 and 175 ÷ 25 = 7. So 125/175 in lowest terms is 5/7.

See Also