GCF for 72 and 168

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 72 and 168?

Answer: GCF of 72 and 168 is 24

(Twenty-four)

Finding GCF for 72 and 168 using all factors (divisors) listing

The first method to find GCF for numbers 72 and 168 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 168: 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

So the Greatest Common Factor for 72 and 168 is 24

Finding GCF for 72 and 168 by Prime Factorization

The second method to find GCF for numbers 72 and 168 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 168: 2, 2, 2, 3, 7

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

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 168? (The answer is: 24). Select the first number (e.g. '72') and the second number (e.g. '168'). 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
571683
581682
591681
6016812
611681
621682
6316821
641688
651681
661686
671681
681684
691683
7016814
711681
7216824
731681
741682
751683
761684
771687
781686
791681
801688
811683
821682
831681
8416884
851681
861682

FAQ

What is the Greatest common Divisor of 72 and 168?

GCF of 72 and 168 is 24

See Also