GCF of 180 and 252 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
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What is the Greatest Common Divisor of 180 and 252?

Answer

GCF of 180 and 252 is
36

(Thirty-six)

Finding GCF for 180 and 252 using all factors (divisors) listing

The first method to find GCF for numbers 180 and 252 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 252: 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

So the Greatest Common Factor for 180 and 252 is 36

Finding GCF for 180 and 252 by Prime Factorization

The second method to find GCF for numbers 180 and 252 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 252: 2, 2, 3, 3, 7

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

Now we need to multiply them to find GCF: 2 × 2 × 3 × 3 = 36

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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 252? (The answer is: 36). Select the first number (e.g. '180') and the second number (e.g. '252'). 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
1802373
1802382
1802391
18024060
1802411
1802422
1802439
1802444
1802455
1802466
1802471
1802484
1802493
18025010
1802511
18025236
1802531
1802542
18025515
1802564
1802571
1802586
1802591
18026020
1802619
1802622
1802631
18026412
1802655
1802662

FAQ

What is the Greatest Common Divisor of 180 and 252?

GCF of 180 and 252 is 36

How to find the GCF of 180 and 252?

You can find the GCF of 180 and 252 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 180 and 252 is 36.

What prime factors do 180 and 252 share?

The prime factorizations of 180 and 252 have 2 × 2 × 3 × 3 in common, and multiplying those shared primes gives 36 — exactly the greatest common factor.

How does the GCF reduce the fraction 180/252?

Divide the numerator and the denominator by the GCF 36: 180 ÷ 36 = 5 and 252 ÷ 36 = 7. So 180/252 in lowest terms is 5/7.

See Also