GCF (HCF) of 55 and 100

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Greatest Common Factor of
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What is the Greatest Common Divisor of 55 and 100?

Answer

GCF (HCF) of 55 and 100 is
5

Common factors: 1, 5

5 divides both: 55 ÷ 5 = 11, 100 ÷ 5 = 20 — and 11 and 20 share no factor but 1, so no larger number divides both.

55 = 5 × 11

100 = 22 × 52

Prime55100Lowest power
2—22—
55525
1111——

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

GCF = 5

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GCF Table

Number 1Number 2GCF
55855
55861
55871
558811
55891
55905
55911
55921
55931
55941
55955
55961
55971
55981
559911
551005
551011
551021
551031
551041
551055
551061
551071
551081
551091
5511055
551111
551121
551131
551141

FAQ

What is the Greatest Common Divisor of 55 and 100?

GCF (HCF) of 55 and 100 is 5

How to find the GCF of 55 and 100?

You can find the GCF of 55 and 100 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 55 and 100 is 5.

What prime factors do 55 and 100 share?

The prime factorizations of 55 and 100 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.

How does the GCF reduce the fraction 55/100?

Divide the numerator and the denominator by the GCF 5: 55 ÷ 5 = 11 and 100 ÷ 5 = 20. So 55/100 in lowest terms is 11/20.

See Also