GCF for 72 and 264

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 72 and 264?

Answer: GCF of 72 and 264 is 24

(Twenty-four)

Finding GCF for 72 and 264 using all factors (divisors) listing

The first method to find GCF for numbers 72 and 264 is to list all factors for both numbers and pick the highest common one:

All factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

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

So the Greatest Common Factor for 72 and 264 is 24

Finding GCF for 72 and 264 by Prime Factorization

The second method to find GCF for numbers 72 and 264 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 72: 2, 2, 2, 3, 3

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

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

Now we need to multiply them to find GCF: 2 × 2 × 2 × 3 = 24

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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 72 and 264? (The answer is: 24). Select the first number (e.g. '72') and the second number (e.g. '264'). 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
572643
582642
592641
6026412
612641
622642
632643
642648
652641
6626466
672641
682644
692643
702642
712641
7226424
732641
742642
752643
762644
7726411
782646
792641
802648
812643
822642
832641
8426412
852641
862642

FAQ

What is the Greatest common Divisor of 72 and 264?

GCF of 72 and 264 is 24

See Also