GCF for 180 and 270

What is the Greatest common Divisor of 180 and 270?

Answer: GCF of 180 and 270 is 90

(Ninety)

Finding GCF for 180 and 270 using all factors (divisors) listing

The first method to find GCF for numbers 180 and 270 is to list all factors for both numbers and pick the highest common one:

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

All factors of 270: 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

So the Greatest Common Factor for 180 and 270 is 90

Finding GCF for 180 and 270 by Prime Factorization

The second method to find GCF for numbers 180 and 270 is to list all Prime Factors for both numbers and multiply the common ones:

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

All Prime Factors of 270: 2, 3, 3, 3, 5

As we can see there are Prime Factors common to both numbers: 2, 3, 3, 5

Now we need to multiply them to find GCF: 2 × 3 × 3 × 5 = 90

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 180 and 270? (The answer is: 90). Select the first number (e.g. '180') and the second number (e.g. '270'). 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

GCF Table

Number 1Number 2GCF
16527015
1662702
1672701
1682706
1692701
17027010
1712709
1722702
1732701
1742706
1752705
1762702
1772703
1782702
1792701
180270
1812701
1822702
1832703
1842702
1852705
1862706
1872701
1882702
18927027
19027010
1912701
1922706
1932701
1942702

FAQ

What is the Greatest common Divisor of 180 and 270?

GCF of 180 and 270 is 90