GCF for 72 and 96

What is the Greatest Common Factor of 72 and 96?

Answer: GCF of 72 and 96 is 24

(Twenty-four)

Finding GCF for 72 and 96 using all factors (divisors) listing

The first method to find GCF for numbers 72 and 96 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 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

So the Greatest Common Factor for 72 and 96 is 24

Finding GCF for 72 and 96 by Prime Factorization

The second method to find GCF for numbers 72 and 96 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 96: 2, 2, 2, 2, 2, 3

As we can see there are Prime Factors common to both numbers: 2, 2, 2, 3

Now we need to multiply them to find GCF: 2 Γ— 2 Γ— 2 Γ— 3 = 24

GCF Table

Number 1Number 2GCF
57963
58962
59961
6096
61961
62962
63963
6496
65961
66966
67961
68964
69963
70962
71961
7296
73961
74962
75963
76964
77961
78966
79961
8096
81963
82962
83961
8496
85961
86962

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 Factor of 72 and 96? (The answer is: 24). Select the first number (e.g. '72') 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

FAQ

What is the Greatest Common Factor of 72 and 96?

GCF of 72 and 96 is 24