GCF for 72 and 80

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 72 and 80?

Answer: GCF of 72 and 80 is 8

(Eight)

Finding GCF for 72 and 80 using all factors (divisors) listing

The first method to find GCF for numbers 72 and 80 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 80: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

So the Greatest Common Factor for 72 and 80 is 8

Finding GCF for 72 and 80 by Prime Factorization

The second method to find GCF for numbers 72 and 80 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 80: 2, 2, 2, 2, 5

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

Now we need to multiply them to find GCF: 2 × 2 × 2 = 8

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 80? (The answer is: 8). Select the first number (e.g. '72') and the second number (e.g. '80'). 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
57801
58802
59801
608020
61801
62802
63801
648016
65805
66802
67801
68804
69801
708010
71801
72808
73801
74802
75805
76804
77801
78802
79801
808080
81801
82802
83801
84804
85805
86802

FAQ

What is the Greatest common Divisor of 72 and 80?

GCF of 72 and 80 is 8

See Also