GCF (HCF) of 250 and 130

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What is the Greatest Common Divisor of 250 and 130?

Answer

GCF (HCF) of 250 and 130 is
10

Common factors: 1, 2, 5, 10

10 divides both: 250 ÷ 10 = 25, 130 ÷ 10 = 13 — and 25 and 13 share no factor but 1, so no larger number divides both.

250 = 2 × 53

130 = 2 × 5 × 13

Prime250130Lowest power
2222
55355
13—13—

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

GCF = 2 × 5 = 10

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GCF Table

Number 1Number 2GCF
2501155
2501162
2501171
2501182
2501191
25012010
2501211
2501222
2501231
2501242
250125125
2501262
2501271
2501282
2501291
25013010
2501311
2501322
2501331
2501342
2501355
2501362
2501371
2501382
2501391
25014010
2501411
2501422
2501431
2501442

FAQ

What is the Greatest Common Divisor of 250 and 130?

GCF (HCF) of 250 and 130 is 10

How to find the GCF of 250 and 130?

You can find the GCF of 250 and 130 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 250 and 130 is 10.

What prime factors do 250 and 130 share?

The prime factorizations of 250 and 130 have 2 × 5 in common, and multiplying those shared primes gives 10 — exactly the greatest common factor.

How does the GCF reduce the fraction 250/130?

Divide the numerator and the denominator by the GCF 10: 250 ÷ 10 = 25 and 130 ÷ 10 = 13. So 250/130 in lowest terms is 25/13.

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