GCF for 72 and 88

What is the Greatest common Divisor of 72 and 88?

Answer: GCF of 72 and 88 is 8

(Eight)

Finding GCF for 72 and 88 using all factors (divisors) listing

The first method to find GCF for numbers 72 and 88 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 88: 1, 2, 4, 8, 11, 22, 44, 88

So the Greatest Common Factor for 72 and 88 is 8

Finding GCF for 72 and 88 by Prime Factorization

The second method to find GCF for numbers 72 and 88 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 88: 2, 2, 2, 11

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

See Also

GCF Table

Number 1Number 2GCF
57881
58882
59881
6088
61881
62882
63881
6488
65881
6688
67881
68884
69881
70882
71881
7288
73881
74882
75881
76884
778811
78882
79881
80888
81881
82882
83881
84884
85881
86882

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 88? (The answer is: 8). Select the first number (e.g. '72') and the second number (e.g. '88'). 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 88?

GCF of 72 and 88 is 8