GCF (HCF) of 63 and 112

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What is the Greatest Common Divisor of 63 and 112?

Answer

GCF (HCF) of 63 and 112 is
7

Common factors: 1, 7

7 divides both: 63 ÷ 7 = 9, 112 ÷ 7 = 16 — and 9 and 16 share no factor but 1, so no larger number divides both.

63 = 32 × 7

112 = 24 × 7

Prime63112Lowest power
2—24—
332——
7777

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

GCF = 7

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GCF Table

Number 1Number 2GCF
63971
63987
63999
631001
631011
631023
631031
631041
6310521
631061
631071
631089
631091
631101
631113
631127
631131
631143
631151
631161
631179
631181
631197
631203
631211
631221
631233
631241
631251
6312663

FAQ

What is the Greatest Common Divisor of 63 and 112?

GCF (HCF) of 63 and 112 is 7

How to find the GCF of 63 and 112?

You can find the GCF of 63 and 112 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 63 and 112 is 7.

What prime factors do 63 and 112 share?

The prime factorizations of 63 and 112 have 7 in common, and multiplying those shared primes gives 7 — exactly the greatest common factor.

How does the GCF reduce the fraction 63/112?

Divide the numerator and the denominator by the GCF 7: 63 ÷ 7 = 9 and 112 ÷ 7 = 16. So 63/112 in lowest terms is 9/16.

See Also