GCF (HCF) of 55 and 60

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 55 and 60?

Answer

GCF (HCF) of 55 and 60 is
5

Common factors: 1, 5

5 divides both: 55 ÷ 5 = 11, 60 ÷ 5 = 12 — and 11 and 12 share no factor but 1, so no larger number divides both.

55 = 5 × 11

60 = 22 × 3 × 5

Prime5560Lowest power
2—22—
3—3—
5555
1111——

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

GCF = 5

More with these numbers

Related Calculations

See Also

GCF Table

Number 1Number 2GCF
55455
55461
55471
55481
55491
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

FAQ

What is the Greatest Common Divisor of 55 and 60?

GCF (HCF) of 55 and 60 is 5

How to find the GCF of 55 and 60?

You can find the GCF of 55 and 60 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 55 and 60 is 5.

What prime factors do 55 and 60 share?

The prime factorizations of 55 and 60 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.

How does the GCF reduce the fraction 55/60?

Divide the numerator and the denominator by the GCF 5: 55 ÷ 5 = 11 and 60 ÷ 5 = 12. So 55/60 in lowest terms is 11/12.

See Also