GCF (HCF) of 60 and 90

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 60 and 90?

Answer

GCF (HCF) of 60 and 90 is
30

Common factors: 1, 2, 3, 5, 6, 10, 15, 30

30 divides both: 60 ÷ 30 = 2, 90 ÷ 30 = 3 — and 2 and 3 share no factor but 1, so no larger number divides both.

60 = 22 × 3 × 5

90 = 2 × 32 × 5

Prime6090Lowest power
22222
33323
5555

GCF = 2 × 3 × 5 = 30

More with these numbers

Related Calculations

See Also

GCF Table

Number 1Number 2GCF
606060
60666
607010
607212
607515
608020
609030
6010020
6010515
6010812
6011010
601155
6012060
6013212
6013515
6014020
601455
6015030
6016515
6017010
601755
6018060
601855
6019515
6020020
602055
6021030
6022020
6022515
602455

FAQ

What is the Greatest Common Divisor of 60 and 90?

GCF (HCF) of 60 and 90 is 30

How to find the GCF of 60 and 90?

You can find the GCF of 60 and 90 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 60 and 90 is 30.

What prime factors do 60 and 90 share?

The prime factorizations of 60 and 90 have 2 × 3 × 5 in common, and multiplying those shared primes gives 30 — exactly the greatest common factor.

How does the GCF reduce the fraction 60/90?

Divide the numerator and the denominator by the GCF 30: 60 ÷ 30 = 2 and 90 ÷ 30 = 3. So 60/90 in lowest terms is 2/3.

See Also