GCF for 22 and 72

What is the Greatest common Divisor of 22 and 72?

Answer: GCF of 22 and 72 is 2

(Two)

Finding GCF for 22 and 72 using all factors (divisors) listing

The first method to find GCF for numbers 22 and 72 is to list all factors for both numbers and pick the highest common one:

All factors of 22: 1, 2, 11, 22

All factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

So the Greatest Common Factor for 22 and 72 is 2

Finding GCF for 22 and 72 by Prime Factorization

The second method to find GCF for numbers 22 and 72 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 22: 2, 11

All Prime Factors of 72: 2, 2, 2, 3, 3

As we can see there is only one Prime Factor common to both numbers. It is 2

So 2 is the Greatest Common Factor of 22 and 72

Related Calculations

GCF Table

Number 1Number 2GCF
7721
872
972
10722
11721
1272
13721
14722
1572
1672
17721
1872
19721
2072
2172
22722
23721
2472
25721
26722
2772
2872
2972
3072
31721
3272
33723
3472
3572
3672

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 22 and 72? (The answer is: 2). Select the first number (e.g. '22') and the second number (e.g. '72'). 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 22 and 72?

GCF of 22 and 72 is 2