GCF (HCF) of 125 and 150

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What is the Greatest Common Divisor of 125 and 150?

Answer

GCF (HCF) of 125 and 150 is
25

Common factors: 1, 5, 25

25 divides both: 125 ÷ 25 = 5, 150 ÷ 25 = 6 — and 5 and 6 share no factor but 1, so no larger number divides both.

125 = 53

150 = 2 × 3 × 52

Prime125150Lowest power
2—2—
3—3—
5535252

— = 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
1251355
1251361
1251371
1251381
1251391
1251405
1251411
1251421
1251431
1251441
1251455
1251461
1251471
1251481
1251491
12515025
1251511
1251521
1251531
1251541
1251555
1251561
1251571
1251581
1251591
1251605
1251611
1251621
1251631
1251641

FAQ

What is the Greatest Common Divisor of 125 and 150?

GCF (HCF) of 125 and 150 is 25

How to find the GCF of 125 and 150?

You can find the GCF of 125 and 150 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 125 and 150 is 25.

What prime factors do 125 and 150 share?

The prime factorizations of 125 and 150 have 5 × 5 in common, and multiplying those shared primes gives 25 — exactly the greatest common factor.

How does the GCF reduce the fraction 125/150?

Divide the numerator and the denominator by the GCF 25: 125 ÷ 25 = 5 and 150 ÷ 25 = 6. So 125/150 in lowest terms is 5/6.

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