GCF for 84 and 120

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 84 and 120?

Answer: GCF of 84 and 120 is 12

(Twelve)

Finding GCF for 84 and 120 using all factors (divisors) listing

The first method to find GCF for numbers 84 and 120 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 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

So the Greatest Common Factor for 84 and 120 is 12

Finding GCF for 84 and 120 by Prime Factorization

The second method to find GCF for numbers 84 and 120 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 120: 2, 2, 2, 3, 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

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 120? (The answer is: 12). Select the first number (e.g. '84') and the second number (e.g. '120'). 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
691203
7012010
711201
7212024
731201
741202
7512015
761204
771201
781206
791201
8012040
811203
821202
831201
8412012
851205
861202
871203
881208
891201
9012030
911201
921204
931203
941202
951205
9612024
971201
981202

FAQ

What is the Greatest common Divisor of 84 and 120?

GCF of 84 and 120 is 12

See Also