GCF for 72 and 84

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 72 and 84?

Answer: GCF of 72 and 84 is 12

(Twelve)

Finding GCF for 72 and 84 using all factors (divisors) listing

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

So the Greatest Common Factor for 72 and 84 is 12

Finding GCF for 72 and 84 by Prime Factorization

The second method to find GCF for numbers 72 and 84 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 84: 2, 2, 3, 7

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 72 and 84? (The answer is: 12). Select the first number (e.g. '72') and the second number (e.g. '84'). 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
57843
58842
59841
608412
61841
62842
638421
64844
65841
66846
67841
68844
69843
708414
71841
728412
73841
74842
75843
76844
77847
78846
79841
80844
81843
82842
83841
848484
85841
86842

FAQ

What is the Greatest common Divisor of 72 and 84?

GCF of 72 and 84 is 12

See Also