GCF for 72 and 156

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 72 and 156?

Answer: GCF of 72 and 156 is 12

(Twelve)

Finding GCF for 72 and 156 using all factors (divisors) listing

The first method to find GCF for numbers 72 and 156 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 156: 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

So the Greatest Common Factor for 72 and 156 is 12

Finding GCF for 72 and 156 by Prime Factorization

The second method to find GCF for numbers 72 and 156 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 156: 2, 2, 3, 13

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

See Also

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 156? (The answer is: 12). Select the first number (e.g. '72') and the second number (e.g. '156'). 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
571563
581562
591561
6015612
611561
621562
631563
641564
6515613
661566
671561
681564
691563
701562
711561
7215612
731561
741562
751563
761564
771561
7815678
791561
801564
811563
821562
831561
8415612
851561
861562

FAQ

What is the Greatest common Divisor of 72 and 156?

GCF of 72 and 156 is 12

See Also