GCF (HCF) of 375 and 600

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What is the Greatest Common Divisor of 375 and 600?

Answer

GCF (HCF) of 375 and 600 is
75

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

75 divides both: 375 ÷ 75 = 5, 600 ÷ 75 = 8 — and 5 and 8 share no factor but 1, so no larger number divides both.

375 = 3 × 53

600 = 23 × 3 × 52

Prime375600Lowest power
2—23—
3333
5535252

— = 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
37558515
3755861
3755871
3755883
3755891
3755905
3755913
3755921
3755931
3755943
3755955
3755961
3755973
3755981
3755991
37560075
3756011
3756021
3756033
3756041
3756055
3756063
3756071
3756081
3756093
3756105
3756111
3756123
3756131
3756141

FAQ

What is the Greatest Common Divisor of 375 and 600?

GCF (HCF) of 375 and 600 is 75

How to find the GCF of 375 and 600?

You can find the GCF of 375 and 600 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 375 and 600 is 75.

What prime factors do 375 and 600 share?

The prime factorizations of 375 and 600 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 375/600?

Divide the numerator and the denominator by the GCF 75: 375 ÷ 75 = 5 and 600 ÷ 75 = 8. So 375/600 in lowest terms is 5/8.

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