GCF (HCF) of 55 and 105

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What is the Greatest Common Divisor of 55 and 105?

Answer

GCF (HCF) of 55 and 105 is
5

Common factors: 1, 5

5 divides both: 55 ÷ 5 = 11, 105 ÷ 5 = 21 — and 11 and 21 share no factor but 1, so no larger number divides both.

55 = 5 × 11

105 = 3 × 5 × 7

Prime55105Lowest power
3—3—
5555
7—7—
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
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
551155
551161
551171
551181
551191

FAQ

What is the Greatest Common Divisor of 55 and 105?

GCF (HCF) of 55 and 105 is 5

How to find the GCF of 55 and 105?

You can find the GCF of 55 and 105 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 55 and 105 is 5.

What prime factors do 55 and 105 share?

The prime factorizations of 55 and 105 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.

How does the GCF reduce the fraction 55/105?

Divide the numerator and the denominator by the GCF 5: 55 ÷ 5 = 11 and 105 ÷ 5 = 21. So 55/105 in lowest terms is 11/21.

See Also