GCF for 180 and 210

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 180 and 210?

Answer: GCF of 180 and 210 is 30

(Thirty)

Finding GCF for 180 and 210 using all factors (divisors) listing

The first method to find GCF for numbers 180 and 210 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 210: 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

So the Greatest Common Factor for 180 and 210 is 30

Finding GCF for 180 and 210 by Prime Factorization

The second method to find GCF for numbers 180 and 210 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 210: 2, 3, 5, 7

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

Now we need to multiply them to find GCF: 2 × 3 × 5 = 30

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What is the GCF of 180 and 210. Find the GCF (GCD) of 210 and 180 - the biggest number that can divide two integers.
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GCF Table

Number 1Number 2GCF
16521015
1662102
1672101
16821042
1692101
17021010
1712103
1722102
1732101
1742106
17521035
1762102
1772103
1782102
1792101
18021030
1812101
18221014
1832103
1842102
1852105
1862106
1872101
1882102
18921021
19021010
1912101
1922106
1932101
1942102

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 210? (The answer is: 30). Select the first number (e.g. '180') and the second number (e.g. '210'). 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

FAQ

What is the Greatest common Divisor of 180 and 210?

GCF of 180 and 210 is 30

See Also