GCF (HCF) of 58 and 60

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What is the Greatest Common Divisor of 58 and 60?

Answer

GCF (HCF) of 58 and 60 is
2

Common factors: 1, 2

2 divides both: 58 ÷ 2 = 29, 60 ÷ 2 = 30 — and 29 and 30 share no factor but 1, so no larger number divides both.

58 = 2 × 29

60 = 22 × 3 × 5

Prime5860Lowest power
22222
3—3—
5—5—
2929——

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

GCF = 2

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GCF Table

Number 1Number 2GCF
58451
58462
58471
58482
58491
58502
58511
58522
58531
58542
58551
58562
58571
585858
58591
58602
58611
58622
58631
58642
58651
58662
58671
58682
58691
58702
58711
58722
58731
58742

FAQ

What is the Greatest Common Divisor of 58 and 60?

GCF (HCF) of 58 and 60 is 2

How to find the GCF of 58 and 60?

You can find the GCF of 58 and 60 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 58 and 60 is 2.

What prime factors do 58 and 60 share?

The prime factorizations of 58 and 60 have 2 in common, and multiplying those shared primes gives 2 — exactly the greatest common factor.

How does the GCF reduce the fraction 58/60?

Divide the numerator and the denominator by the GCF 2: 58 ÷ 2 = 29 and 60 ÷ 2 = 30. So 58/60 in lowest terms is 29/30.

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