GCF (HCF) of 55 and 65

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What is the Greatest Common Divisor of 55 and 65?

Answer

GCF (HCF) of 55 and 65 is
5

Common factors: 1, 5

5 divides both: 55 ÷ 5 = 11, 65 ÷ 5 = 13 — and 11 and 13 share no factor but 1, so no larger number divides both.

55 = 5 × 11

65 = 5 × 13

Prime5565Lowest power
5555
1111——
13—13—

— = 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
55505
55511
55521
55531
55541
555555
55561
55571
55581
55591
55605
55611
55621
55631
55641
55655
556611
55671
55681
55691
55705
55711
55721
55731
55741
55755
55761
557711
55781
55791

FAQ

What is the Greatest Common Divisor of 55 and 65?

GCF (HCF) of 55 and 65 is 5

How to find the GCF of 55 and 65?

You can find the GCF of 55 and 65 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 55 and 65 is 5.

What prime factors do 55 and 65 share?

The prime factorizations of 55 and 65 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.

How does the GCF reduce the fraction 55/65?

Divide the numerator and the denominator by the GCF 5: 55 ÷ 5 = 11 and 65 ÷ 5 = 13. So 55/65 in lowest terms is 11/13.

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