GCF (HCF) of 10 and 1000

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Greatest Common Factor of
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What is the Greatest Common Divisor of 10 and 1,000?

Answer

GCF (HCF) of 10 and 1,000 is
10

Common factors: 1, 2, 5, 10

10 divides 1,000 (1,000 ÷ 10 = 100), so the GCF is the smaller number itself.

10 = 2 × 5

1,000 = 23 × 53

Prime101,000Lowest power
22232
55535

GCF = 2 × 5 = 10

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GCF Table

Number 1Number 2GCF
10555
10562
10591
106010
10655
107010
10755
108010
109010
10955
10991
1010010
101155
1015010
101655
1017010
1018010
1020010
1021010
1023010
1029010
1031010
1032010
103655
103755
103955
104155
1043010
104855
101,00010

FAQ

What is the Greatest Common Divisor of 10 and 1,000?

GCF (HCF) of 10 and 1,000 is 10

How to find the GCF of 10 and 1,000?

You can find the GCF of 10 and 1,000 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 10 and 1,000 is 10.

What prime factors do 10 and 1,000 share?

The prime factorizations of 10 and 1,000 have 2 × 5 in common, and multiplying those shared primes gives 10 — exactly the greatest common factor.

How does the GCF reduce the fraction 10/1000?

Divide the numerator and the denominator by the GCF 10: 10 ÷ 10 = 1 and 1,000 ÷ 10 = 100. So 10/1000 in lowest terms is 1/100.

See Also