GCF of 180 and 240 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 180 and 240?

Answer

GCF of 180 and 240 is
60

(Sixty)

Finding GCF for 180 and 240 using all factors (divisors) listing

The first method to find GCF for numbers 180 and 240 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 240: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

So the Greatest Common Factor for 180 and 240 is 60

Finding GCF for 180 and 240 by Prime Factorization

The second method to find GCF for numbers 180 and 240 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 240: 2, 2, 2, 2, 3, 5

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

Now we need to multiply them to find GCF: 2 × 2 × 3 × 5 = 60

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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 180 and 240? (The answer is: 60). Select the first number (e.g. '180') and the second number (e.g. '240'). 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
18022545
1802262
1802271
18022812
1802291
18023010
1802313
1802324
1802331
18023418
1802355
1802364
1802373
1802382
1802391
18024060
1802411
1802422
1802439
1802444
1802455
1802466
1802471
1802484
1802493
18025010
1802511
18025236
1802531
1802542

FAQ

What is the Greatest Common Divisor of 180 and 240?

GCF of 180 and 240 is 60

How to find the GCF of 180 and 240?

You can find the GCF of 180 and 240 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 180 and 240 is 60.

What prime factors do 180 and 240 share?

The prime factorizations of 180 and 240 have 2 × 2 × 3 × 5 in common, and multiplying those shared primes gives 60 — exactly the greatest common factor.

How does the GCF reduce the fraction 180/240?

Divide the numerator and the denominator by the GCF 60: 180 ÷ 60 = 3 and 240 ÷ 60 = 4. So 180/240 in lowest terms is 3/4.

See Also