GCF (HCF) of 98 and 112

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What is the Greatest Common Divisor of 98 and 112?

Answer

GCF (HCF) of 98 and 112 is
14

Common factors: 1, 2, 7, 14

14 divides both: 98 ÷ 14 = 7, 112 ÷ 14 = 8 — and 7 and 8 share no factor but 1, so no larger number divides both.

98 = 2 × 72

112 = 24 × 7

Prime98112Lowest power
22242
77277

GCF = 2 × 7 = 14

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GCF Table

Number 1Number 2GCF
98971
989898
98991
981002
981011
981022
981031
981042
981057
981062
981071
981082
981091
981102
981111
9811214
981131
981142
981151
981162
981171
981182
981197
981202
981211
981222
981231
981242
981251
9812614

FAQ

What is the Greatest Common Divisor of 98 and 112?

GCF (HCF) of 98 and 112 is 14

How to find the GCF of 98 and 112?

You can find the GCF of 98 and 112 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 98 and 112 is 14.

What prime factors do 98 and 112 share?

The prime factorizations of 98 and 112 have 2 × 7 in common, and multiplying those shared primes gives 14 — exactly the greatest common factor.

How does the GCF reduce the fraction 98/112?

Divide the numerator and the denominator by the GCF 14: 98 ÷ 14 = 7 and 112 ÷ 14 = 8. So 98/112 in lowest terms is 7/8.

See Also