GCF (HCF) of 34 and 60

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What is the Greatest Common Divisor of 34 and 60?

Answer

GCF (HCF) of 34 and 60 is
2

Common factors: 1, 2

2 divides both: 34 ÷ 2 = 17, 60 ÷ 2 = 30 — and 17 and 30 share no factor but 1, so no larger number divides both.

34 = 2 × 17

60 = 22 × 3 × 5

Prime3460Lowest power
22222
3—3—
5—5—
1717——

— = 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
34351
34362
34371
34382
34391
34402
34411
34431
34442
34462
34482
34491
34502
345117
34522
34542
34551
34562
34571
34582
34591
34602
34631
346834
348517

FAQ

What is the Greatest Common Divisor of 34 and 60?

GCF (HCF) of 34 and 60 is 2

How to find the GCF of 34 and 60?

You can find the GCF of 34 and 60 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 34 and 60 is 2.

What prime factors do 34 and 60 share?

The prime factorizations of 34 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 34/60?

Divide the numerator and the denominator by the GCF 2: 34 ÷ 2 = 17 and 60 ÷ 2 = 30. So 34/60 in lowest terms is 17/30.

See Also