GCF (HCF) of 10 and 320

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Greatest Common Factor of
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What is the Greatest Common Divisor of 10 and 320?

Answer

GCF (HCF) of 10 and 320 is
10

Common factors: 1, 2, 5, 10

10 divides 320 (320 ÷ 10 = 32), so the GCF is the smaller number itself.

10 = 2 × 5

320 = 26 × 5

Prime10320Lowest power
22262
5555

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 320?

GCF (HCF) of 10 and 320 is 10

How to find the GCF of 10 and 320?

You can find the GCF of 10 and 320 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 10 and 320 is 10.

What prime factors do 10 and 320 share?

The prime factorizations of 10 and 320 have 2 × 5 in common, and multiplying those shared primes gives 10 — exactly the greatest common factor.

How does the GCF reduce the fraction 10/320?

Divide the numerator and the denominator by the GCF 10: 10 ÷ 10 = 1 and 320 ÷ 10 = 32. So 10/320 in lowest terms is 1/32.

See Also