GCF for 84 and 96

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 84 and 96?

Answer: GCF of 84 and 96 is 12

(Twelve)

Finding GCF for 84 and 96 using all factors (divisors) listing

The first method to find GCF for numbers 84 and 96 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 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

So the Greatest Common Factor for 84 and 96 is 12

Finding GCF for 84 and 96 by Prime Factorization

The second method to find GCF for numbers 84 and 96 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 96: 2, 2, 2, 2, 2, 3

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

Related Calculations

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 96? (The answer is: 12). Select the first number (e.g. '84') and the second number (e.g. '96'). 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
69963
70962
71961
729624
73961
74962
75963
76964
77961
78966
79961
809616
81963
82962
83961
849612
85961
86962
87963
88968
89961
90966
91961
92964
93963
94962
95961
969696
97961
98962

FAQ

What is the Greatest common Divisor of 84 and 96?

GCF of 84 and 96 is 12

See Also