GCF for 144 and 180

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 144 and 180?

Answer: GCF of 144 and 180 is 36

(Thirty-six)

Finding GCF for 144 and 180 using all factors (divisors) listing

The first method to find GCF for numbers 144 and 180 is to list all factors for both numbers and pick the highest common one:

All factors of 144: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

All factors of 180: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

So the Greatest Common Factor for 144 and 180 is 36

Finding GCF for 144 and 180 by Prime Factorization

The second method to find GCF for numbers 144 and 180 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 144: 2, 2, 2, 2, 3, 3

All Prime Factors of 180: 2, 2, 3, 3, 5

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

Now we need to multiply them to find GCF: 2 × 2 × 3 × 3 = 36

See Also

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 144 and 180? (The answer is: 36). Select the first number (e.g. '144') and the second number (e.g. '180'). 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
1291803
13018010
1311801
13218012
1331801
1341802
13518045
1361804
1371801
1381806
1391801
14018020
1411803
1421802
1431801
14418036
1451805
1461802
1471803
1481804
1491801
15018030
1511801
1521804
1531809
1541802
1551805
15618012
1571801
1581802

FAQ

What is the Greatest common Divisor of 144 and 180?

GCF of 144 and 180 is 36

See Also