GCF (HCF) of 55 and 75

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Greatest Common Factor of
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What is the Greatest Common Divisor of 55 and 75?

Answer

GCF (HCF) of 55 and 75 is
5

Common factors: 1, 5

5 divides both: 55 ÷ 5 = 11, 75 ÷ 5 = 15 — and 11 and 15 share no factor but 1, so no larger number divides both.

55 = 5 × 11

75 = 3 × 52

Prime5575Lowest power
3—3—
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
55605
55611
55621
55631
55641
55655
556611
55671
55681
55691
55705
55711
55721
55731
55741
55755
55761
557711
55781
55791
55805
55811
55821
55831
55841
55855
55861
55871
558811
55891

FAQ

What is the Greatest Common Divisor of 55 and 75?

GCF (HCF) of 55 and 75 is 5

How to find the GCF of 55 and 75?

You can find the GCF of 55 and 75 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 55 and 75 is 5.

What prime factors do 55 and 75 share?

The prime factorizations of 55 and 75 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.

How does the GCF reduce the fraction 55/75?

Divide the numerator and the denominator by the GCF 5: 55 ÷ 5 = 11 and 75 ÷ 5 = 15. So 55/75 in lowest terms is 11/15.

See Also