GCF (HCF) of 150 and 375

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What is the Greatest Common Divisor of 150 and 375?

Answer

GCF (HCF) of 150 and 375 is
75

Common factors: 1, 3, 5, 15, 25, 75

75 divides both: 150 ÷ 75 = 2, 375 ÷ 75 = 5 — and 2 and 5 share no factor but 1, so no larger number divides both.

150 = 2 × 3 × 52

375 = 3 × 53

Prime150375Lowest power
22——
3333
5525352

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

GCF = 3 × 52 = 75

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GCF Table

Number 1Number 2GCF
15036030
1503611
1503622
1503633
1503642
1503655
1503666
1503671
1503682
1503693
15037010
1503711
1503726
1503731
1503742
15037575
1503762
1503771
1503786
1503791
15038010
1503813
1503822
1503831
1503846
1503855
1503862
1503873
1503882
1503891

FAQ

What is the Greatest Common Divisor of 150 and 375?

GCF (HCF) of 150 and 375 is 75

How to find the GCF of 150 and 375?

You can find the GCF of 150 and 375 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 150 and 375 is 75.

What prime factors do 150 and 375 share?

The prime factorizations of 150 and 375 have 3 × 5 × 5 in common, and multiplying those shared primes gives 75 — exactly the greatest common factor.

How does the GCF reduce the fraction 150/375?

Divide the numerator and the denominator by the GCF 75: 150 ÷ 75 = 2 and 375 ÷ 75 = 5. So 150/375 in lowest terms is 2/5.

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