GCF (HCF) of 125 and 1000

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What is the Greatest Common Divisor of 125 and 1,000?

Answer

GCF (HCF) of 125 and 1,000 is
125

Common factors: 1, 5, 25, 125

125 divides 1,000 (1,000 ÷ 125 = 8), so the GCF is the smaller number itself.

125 = 53

1,000 = 23 × 53

Prime1251,000Lowest power
2—23—
5535353

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

GCF = 53 = 125

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GCF Table

Number 1Number 2GCF
1259855
1259861
1259871
1259881
1259891
1259905
1259911
1259921
1259931
1259941
1259955
1259961
1259971
1259981
1259991
1251,000125
1251,0011
1251,0021
1251,0031
1251,0041
1251,0055
1251,0061
1251,0071
1251,0081
1251,0091
1251,0105
1251,0111
1251,0121
1251,0131
1251,0141

FAQ

What is the Greatest Common Divisor of 125 and 1,000?

GCF (HCF) of 125 and 1,000 is 125

How to find the GCF of 125 and 1,000?

You can find the GCF of 125 and 1,000 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 125 and 1,000 is 125.

What prime factors do 125 and 1,000 share?

The prime factorizations of 125 and 1,000 have 5 × 5 × 5 in common, and multiplying those shared primes gives 125 — exactly the greatest common factor.

How does the GCF reduce the fraction 125/1000?

Divide the numerator and the denominator by the GCF 125: 125 ÷ 125 = 1 and 1,000 ÷ 125 = 8. So 125/1000 in lowest terms is 1/8.

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