GCF (HCF) of 264 and 300

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What is the Greatest Common Divisor of 264 and 300?

Answer

GCF (HCF) of 264 and 300 is
12

Common factors: 1, 2, 3, 4, 6, 12

12 divides both: 264 ÷ 12 = 22, 300 ÷ 12 = 25 — and 22 and 25 share no factor but 1, so no larger number divides both.

264 = 23 × 3 × 11

300 = 22 × 3 × 52

Prime264300Lowest power
2232222
3333
5—52—
1111——

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

GCF = 22 × 3 = 12

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GCF Table

Number 1Number 2GCF
2642853
26428622
2642871
26428824
2642891
2642902
2642913
2642924
2642931
2642946
2642951
2642968
26429733
2642982
2642991
26430012
2643011
2643022
2643033
2643048
2643051
2643066
2643071
26430844
2643093
2643102
2643111
26431224
2643131
2643142

FAQ

What is the Greatest Common Divisor of 264 and 300?

GCF (HCF) of 264 and 300 is 12

How to find the GCF of 264 and 300?

You can find the GCF of 264 and 300 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 264 and 300 is 12.

What prime factors do 264 and 300 share?

The prime factorizations of 264 and 300 have 2 × 2 × 3 in common, and multiplying those shared primes gives 12 — exactly the greatest common factor.

How does the GCF reduce the fraction 264/300?

Divide the numerator and the denominator by the GCF 12: 264 ÷ 12 = 22 and 300 ÷ 12 = 25. So 264/300 in lowest terms is 22/25.

See Also