GCF for 165 and 180

What is the Greatest common Divisor of 165 and 180?

Answer: GCF of 165 and 180 is 15

(Fifteen)

Finding GCF for 165 and 180 using all factors (divisors) listing

The first method to find GCF for numbers 165 and 180 is to list all factors for both numbers and pick the highest common one:

All factors of 165: 1, 3, 5, 11, 15, 33, 55, 165

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 165 and 180 is 15

Finding GCF for 165 and 180 by Prime Factorization

The second method to find GCF for numbers 165 and 180 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 165: 3, 5, 11

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

As we can see there are Prime Factors common to both numbers: 3, 5

Now we need to multiply them to find GCF: 3 × 5 = 15

GCF Table

Number 1Number 2GCF
150180
1511801
1521804
1531809
1541802
1551805
15618012
1571801
1581802
1591803
16018020
1611801
16218018
1631801
1641804
165180
1661802
1671801
16818012
1691801
17018010
1711809
1721804
1731801
1741806
1751805
1761804
1771803
1781802
1791801

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 165 and 180? (The answer is: 15). Select the first number (e.g. '165') 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

FAQ

What is the Greatest common Divisor of 165 and 180?

GCF of 165 and 180 is 15