GCF of 135 and 180 (Greatest Common Factor)

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest Common Divisor of 135 and 180?

Answer

GCF of 135 and 180 is
45

(Forty-five)

Finding GCF for 135 and 180 using all factors (divisors) listing

The first method to find GCF for numbers 135 and 180 is to list all factors for both numbers and pick the highest common one:

All factors of 135: 1, 3, 5, 9, 15, 27, 45, 135

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 135 and 180 is 45

Finding GCF for 135 and 180 by Prime Factorization

The second method to find GCF for numbers 135 and 180 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 135: 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: 3, 3, 5

Now we need to multiply them to find GCF: 3 × 3 × 5 = 45

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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 135 and 180? (The answer is: 45). Select the first number (e.g. '135') 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
13516515
1351661
1351671
1351683
1351691
1351705
1351719
1351721
1351731
1351743
1351755
1351761
1351773
1351781
1351791
13518045
1351811
1351821
1351833
1351841
1351855
1351863
1351871
1351881
13518927
1351905
1351911
1351923
1351931
1351941

FAQ

What is the Greatest Common Divisor of 135 and 180?

GCF of 135 and 180 is 45

How to find the GCF of 135 and 180?

You can find the GCF of 135 and 180 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 135 and 180 is 45.

What prime factors do 135 and 180 share?

The prime factorizations of 135 and 180 have 3 × 3 × 5 in common, and multiplying those shared primes gives 45 — exactly the greatest common factor.

How does the GCF reduce the fraction 135/180?

Divide the numerator and the denominator by the GCF 45: 135 ÷ 45 = 3 and 180 ÷ 45 = 4. So 135/180 in lowest terms is 3/4.

See Also