GCF (HCF) of 49 and 98

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What is the Greatest Common Divisor of 49 and 98?

Answer

GCF (HCF) of 49 and 98 is
49

Common factors: 1, 7, 49

49 divides 98 (98 ÷ 49 = 2), so the GCF is the smaller number itself.

49 = 72

98 = 2 × 72

Prime4998Lowest power
2—2—
7727272

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

GCF = 72 = 49

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GCF Table

Number 1Number 2GCF
49831
49847
49851
49861
49871
49881
49891
49901
49917
49921
49931
49941
49951
49961
49971
499849
49991
491001
491011
491021
491031
491041
491057
491061
491071
491081
491091
491101
491111
491127

FAQ

What is the Greatest Common Divisor of 49 and 98?

GCF (HCF) of 49 and 98 is 49

How to find the GCF of 49 and 98?

You can find the GCF of 49 and 98 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 49 and 98 is 49.

What prime factors do 49 and 98 share?

The prime factorizations of 49 and 98 have 7 × 7 in common, and multiplying those shared primes gives 49 — exactly the greatest common factor.

How does the GCF reduce the fraction 49/98?

Divide the numerator and the denominator by the GCF 49: 49 ÷ 49 = 1 and 98 ÷ 49 = 2. So 49/98 in lowest terms is 1/2.

See Also