GCF (HCF) of 250 and 1000

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What is the Greatest Common Divisor of 250 and 1,000?

Answer

GCF (HCF) of 250 and 1,000 is
250

Common factors: 1, 2, 5, 10, 25, 50, 125, 250

250 divides 1,000 (1,000 ÷ 250 = 4), so the GCF is the smaller number itself.

250 = 2 × 53

1,000 = 23 × 53

Prime2501,000Lowest power
22232
5535353

GCF = 2 × 53 = 250

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GCF Table

Number 1Number 2GCF
2509855
2509862
2509871
2509882
2509891
25099010
2509911
2509922
2509931
2509942
2509955
2509962
2509971
2509982
2509991
2501,000250
2501,0011
2501,0022
2501,0031
2501,0042
2501,0055
2501,0062
2501,0071
2501,0082
2501,0091
2501,01010
2501,0111
2501,0122
2501,0131
2501,0142

FAQ

What is the Greatest Common Divisor of 250 and 1,000?

GCF (HCF) of 250 and 1,000 is 250

How to find the GCF of 250 and 1,000?

You can find the GCF of 250 and 1,000 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 250 and 1,000 is 250.

What prime factors do 250 and 1,000 share?

The prime factorizations of 250 and 1,000 have 2 × 5 × 5 × 5 in common, and multiplying those shared primes gives 250 — exactly the greatest common factor.

How does the GCF reduce the fraction 250/1000?

Divide the numerator and the denominator by the GCF 250: 250 ÷ 250 = 1 and 1,000 ÷ 250 = 4. So 250/1000 in lowest terms is 1/4.

See Also