GCF (HCF) of 75 and 200

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 75 and 200?

Answer

GCF (HCF) of 75 and 200 is
25

Common factors: 1, 5, 25

25 divides both: 75 ÷ 25 = 3, 200 ÷ 25 = 8 — and 3 and 8 share no factor but 1, so no larger number divides both.

75 = 3 × 52

200 = 23 × 52

Prime75200Lowest power
2—23—
33——
5525252

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

GCF = 52 = 25

More with these numbers

Related Calculations

See Also

GCF Table

Number 1Number 2GCF
751855
751863
751871
751881
751893
751905
751911
751923
751931
751941
7519515
751961
751971
751983
751991
7520025
752013
752021
752031
752043
752055
752061
752073
752081
752091
7521015
752111
752121
752133
752141

FAQ

What is the Greatest Common Divisor of 75 and 200?

GCF (HCF) of 75 and 200 is 25

How to find the GCF of 75 and 200?

You can find the GCF of 75 and 200 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 75 and 200 is 25.

What prime factors do 75 and 200 share?

The prime factorizations of 75 and 200 have 5 × 5 in common, and multiplying those shared primes gives 25 — exactly the greatest common factor.

How does the GCF reduce the fraction 75/200?

Divide the numerator and the denominator by the GCF 25: 75 ÷ 25 = 3 and 200 ÷ 25 = 8. So 75/200 in lowest terms is 3/8.

See Also