GCF for 84 and 315

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 84 and 315?

Answer: GCF of 84 and 315 is 21

(Twenty-one)

Finding GCF for 84 and 315 using all factors (divisors) listing

The first method to find GCF for numbers 84 and 315 is to list all factors for both numbers and pick the highest common one:

All factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

All factors of 315: 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

So the Greatest Common Factor for 84 and 315 is 21

Finding GCF for 84 and 315 by Prime Factorization

The second method to find GCF for numbers 84 and 315 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 84: 2, 2, 3, 7

All Prime Factors of 315: 3, 3, 5, 7

As we can see there are Prime Factors common to both numbers: 3, 7

Now we need to multiply them to find GCF: 3 × 7 = 21

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 84 and 315? (The answer is: 21). Select the first number (e.g. '84') and the second number (e.g. '315'). 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
693153
7031535
713151
723159
733151
743151
7531515
763151
773157
783153
793151
803155
813159
823151
833151
8431521
853155
863151
873153
883151
893151
9031545
913157
923151
933153
943151
953155
963153
973151
983157

FAQ

What is the Greatest common Divisor of 84 and 315?

GCF of 84 and 315 is 21

See Also