GCF (HCF) of 10 and 230

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Greatest Common Factor of
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What is the Greatest Common Divisor of 10 and 230?

Answer

GCF (HCF) of 10 and 230 is
10

Common factors: 1, 2, 5, 10

10 divides 230 (230 ÷ 10 = 23), so the GCF is the smaller number itself.

10 = 2 × 5

230 = 2 × 5 × 23

Prime10230Lowest power
2222
5555
23—23—

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

GCF = 2 × 5 = 10

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GCF Table

Number 1Number 2GCF
106010
10655
107010
10755
108010
109010
10955
10991
1010010
101155
1015010
101655
1017010
1018010
1020010
1021010
1023010
1029010
1030010
1031010
1032010
103655
103755
103955
104155
1043010
104755
104855
1050010
101,00010

FAQ

What is the Greatest Common Divisor of 10 and 230?

GCF (HCF) of 10 and 230 is 10

How to find the GCF of 10 and 230?

You can find the GCF of 10 and 230 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 10 and 230 is 10.

What prime factors do 10 and 230 share?

The prime factorizations of 10 and 230 have 2 × 5 in common, and multiplying those shared primes gives 10 — exactly the greatest common factor.

How does the GCF reduce the fraction 10/230?

Divide the numerator and the denominator by the GCF 10: 10 ÷ 10 = 1 and 230 ÷ 10 = 23. So 10/230 in lowest terms is 1/23.

See Also