GCF (HCF) of 144 and 1000

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What is the Greatest Common Divisor of 144 and 1,000?

Answer

GCF (HCF) of 144 and 1,000 is
8

Common factors: 1, 2, 4, 8

8 divides both: 144 ÷ 8 = 18; 1,000 ÷ 8 = 125 — and 18 and 125 share no factor but 1, so no larger number divides both.

144 = 24 × 32

1,000 = 23 × 53

Prime1441,000Lowest power
2242323
332——
5—53—

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

GCF = 23 = 8

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GCF Table

Number 1Number 2GCF
1449851
1449862
1449873
1449884
1449891
14499018
1449911
14499216
1449933
1449942
1449951
14499612
1449971
1449982
1449999
1441,0008
1441,0011
1441,0026
1441,0031
1441,0044
1441,0053
1441,0062
1441,0071
1441,008144
1441,0091
1441,0102
1441,0113
1441,0124
1441,0131
1441,0146

FAQ

What is the Greatest Common Divisor of 144 and 1,000?

GCF (HCF) of 144 and 1,000 is 8

How to find the GCF of 144 and 1,000?

You can find the GCF of 144 and 1,000 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 144 and 1,000 is 8.

What prime factors do 144 and 1,000 share?

The prime factorizations of 144 and 1,000 have 2 × 2 × 2 in common, and multiplying those shared primes gives 8 — exactly the greatest common factor.

How does the GCF reduce the fraction 144/1000?

Divide the numerator and the denominator by the GCF 8: 144 ÷ 8 = 18 and 1,000 ÷ 8 = 125. So 144/1000 in lowest terms is 18/125.

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