GCF for 72 and 99

What is the Greatest common Divisor of 72 and 99?

Answer: GCF of 72 and 99 is 9

(Nine)

Finding GCF for 72 and 99 using all factors (divisors) listing

The first method to find GCF for numbers 72 and 99 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 99: 1, 3, 9, 11, 33, 99

So the Greatest Common Factor for 72 and 99 is 9

Finding GCF for 72 and 99 by Prime Factorization

The second method to find GCF for numbers 72 and 99 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 99: 3, 3, 11

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

Now we need to multiply them to find GCF: 3 × 3 = 9

Related Calculations

GCF Table

Number 1Number 2GCF
57993
58991
59991
60993
61991
62991
6399
64991
65991
6699
67991
68991
69993
70991
71991
7299
7399
74991
75993
76991
779911
78993
79991
80991
8199
82991
83991
84993
85991
86991

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 99? (The answer is: 9). Select the first number (e.g. '72') and the second number (e.g. '99'). 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

FAQ

What is the Greatest common Divisor of 72 and 99?

GCF of 72 and 99 is 9