GCF (HCF) of 250 and 300

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Greatest Common Factor of
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What is the Greatest Common Divisor of 250 and 300?

Answer

GCF (HCF) of 250 and 300 is
50

Common factors: 1, 2, 5, 10, 25, 50

50 divides both: 250 ÷ 50 = 5, 300 ÷ 50 = 6 — and 5 and 6 share no factor but 1, so no larger number divides both.

250 = 2 × 53

300 = 22 × 3 × 52

Prime250300Lowest power
22222
3—3—
5535252

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

GCF = 2 × 52 = 50

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GCF Table

Number 1Number 2GCF
2502855
2502862
2502871
2502882
2502891
25029010
2502911
2502922
2502931
2502942
2502955
2502962
2502971
2502982
2502991
25030050
2503011
2503022
2503031
2503042
2503055
2503062
2503071
2503082
2503091
25031010
2503111
2503122
2503131
2503142

FAQ

What is the Greatest Common Divisor of 250 and 300?

GCF (HCF) of 250 and 300 is 50

How to find the GCF of 250 and 300?

You can find the GCF of 250 and 300 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 250 and 300 is 50.

What prime factors do 250 and 300 share?

The prime factorizations of 250 and 300 have 2 × 5 × 5 in common, and multiplying those shared primes gives 50 — exactly the greatest common factor.

How does the GCF reduce the fraction 250/300?

Divide the numerator and the denominator by the GCF 50: 250 ÷ 50 = 5 and 300 ÷ 50 = 6. So 250/300 in lowest terms is 5/6.

See Also