GCF of 264 and 300 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 264 and 300?

Answer

GCF of 264 and 300 is
12

(Twelve)

Finding GCF for 264 and 300 using all factors (divisors) listing

The first method to find GCF for numbers 264 and 300 is to list all factors for both numbers and pick the highest common one:

All factors of 264: 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

All factors of 300: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

So the Greatest Common Factor for 264 and 300 is 12

Finding GCF for 264 and 300 by Prime Factorization

The second method to find GCF for numbers 264 and 300 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 264: 2, 2, 2, 3, 11

All Prime Factors of 300: 2, 2, 3, 5, 5

As we can see there are Prime Factors common to both numbers: 2, 2, 3

Now we need to multiply them to find GCF: 2 × 2 × 3 = 12

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About "Greatest Common Factor" Calculator

This calculator will help you find the greatest common factor (GCF) of two numbers. For example, it can help you find out what is the Greatest Common Divisor of 264 and 300? (The answer is: 12). Select the first number (e.g. '264') and the second number (e.g. '300'). After that hit the 'Calculate' button.
Greatest Common Factor (GCF) also known as the Greatest Common Divisor (GCD) or Highest Common Factor (HCF) - it is the largest positive integer that divides each of the integers with zero remainder.
"Greatest Common Factor" Calculator
Greatest Common Factor of
and

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 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