GCF (HCF) of 75 and 125

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What is the Greatest Common Divisor of 75 and 125?

Answer

GCF (HCF) of 75 and 125 is
25

Common factors: 1, 5, 25

25 divides both: 75 ÷ 25 = 3, 125 ÷ 25 = 5 — and 3 and 5 share no factor but 1, so no larger number divides both.

75 = 3 × 52

125 = 53

Prime75125Lowest power
33——
5525352

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

GCF = 52 = 25

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GCF Table

Number 1Number 2GCF
751105
751113
751121
751131
751143
751155
751161
751173
751181
751191
7512015
751211
751221
751233
751241
7512525
751263
751271
751281
751293
751305
751311
751323
751331
751341
7513515
751361
751371
751383
751391

FAQ

What is the Greatest Common Divisor of 75 and 125?

GCF (HCF) of 75 and 125 is 25

How to find the GCF of 75 and 125?

You can find the GCF of 75 and 125 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 75 and 125 is 25.

What prime factors do 75 and 125 share?

The prime factorizations of 75 and 125 have 5 × 5 in common, and multiplying those shared primes gives 25 — exactly the greatest common factor.

How does the GCF reduce the fraction 75/125?

Divide the numerator and the denominator by the GCF 25: 75 ÷ 25 = 3 and 125 ÷ 25 = 5. So 75/125 in lowest terms is 3/5.

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