GCF for 180 and 450

What is the Greatest common Divisor of 180 and 450?

Answer: GCF of 180 and 450 is 90

(Ninety)

Finding GCF for 180 and 450 using all factors (divisors) listing

The first method to find GCF for numbers 180 and 450 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 450: 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

So the Greatest Common Factor for 180 and 450 is 90

Finding GCF for 180 and 450 by Prime Factorization

The second method to find GCF for numbers 180 and 450 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 450: 2, 3, 3, 5, 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 450? (The answer is: 90). Select the first number (e.g. '180') and the second number (e.g. '450'). 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
16545015
1664502
1674501
1684506
1694501
17045010
1714509
1724502
1734501
1744506
17545025
1764502
1774503
1784502
1794501
180450
1814501
1824502
1834503
1844502
1854505
1864506
1874501
1884502
1894509
19045010
1914501
1924506
1934501
1944502

FAQ

What is the Greatest common Divisor of 180 and 450?

GCF of 180 and 450 is 90