GCF of 270 and 180 (Greatest Common Factor)

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest Common Divisor of 270 and 180?

Answer

GCF of 270 and 180 is
90

(Ninety)

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

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

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

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 270 and 180 is 90

Finding GCF for 270 and 180 by Prime Factorization

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

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

All Prime Factors of 180: 2, 2, 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

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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 270 and 180? (The answer is: 90). Select the first number (e.g. '270') 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
27016515
2701662
2701671
2701686
2701691
27017010
2701719
2701722
2701731
2701746
2701755
2701762
2701773
2701782
2701791
27018090
2701811
2701822
2701833
2701842
2701855
2701866
2701871
2701882
27018927
27019010
2701911
2701926
2701931
2701942

FAQ

What is the Greatest Common Divisor of 270 and 180?

GCF of 270 and 180 is 90

How to find the GCF of 270 and 180?

You can find the GCF of 270 and 180 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 270 and 180 is 90.

What prime factors do 270 and 180 share?

The prime factorizations of 270 and 180 have 2 × 3 × 3 × 5 in common, and multiplying those shared primes gives 90 — exactly the greatest common factor.

How does the GCF reduce the fraction 270/180?

Divide the numerator and the denominator by the GCF 90: 270 ÷ 90 = 3 and 180 ÷ 90 = 2. So 270/180 in lowest terms is 3/2.

See Also