GCF of 210 and 180 (Greatest Common Factor)

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest Common Divisor of 210 and 180?

Answer

GCF of 210 and 180 is
30

(Thirty)

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

The first method to find GCF for numbers 210 and 180 is to list all factors for both numbers and pick the highest common one:

All factors of 210: 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

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 210 and 180 is 30

Finding GCF for 210 and 180 by Prime Factorization

The second method to find GCF for numbers 210 and 180 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 210: 2, 3, 5, 7

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

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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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 210 and 180? (The answer is: 30). Select the first number (e.g. '210') 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
21016515
2101662
2101671
21016842
2101691
21017010
2101713
2101722
2101731
2101746
21017535
2101762
2101773
2101782
2101791
21018030
2101811
21018214
2101833
2101842
2101855
2101866
2101871
2101882
21018921
21019010
2101911
2101926
2101931
2101942

FAQ

What is the Greatest Common Divisor of 210 and 180?

GCF of 210 and 180 is 30

How to find the GCF of 210 and 180?

You can find the GCF of 210 and 180 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 210 and 180 is 30.

What prime factors do 210 and 180 share?

The prime factorizations of 210 and 180 have 2 × 3 × 5 in common, and multiplying those shared primes gives 30 — exactly the greatest common factor.

How does the GCF reduce the fraction 210/180?

Divide the numerator and the denominator by the GCF 30: 210 ÷ 30 = 7 and 180 ÷ 30 = 6. So 210/180 in lowest terms is 7/6.

See Also