GCF of 180 and 600 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 180 and 600?

Answer

GCF of 180 and 600 is
60

(Sixty)

Finding GCF for 180 and 600 using all factors (divisors) listing

The first method to find GCF for numbers 180 and 600 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 600: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

So the Greatest Common Factor for 180 and 600 is 60

Finding GCF for 180 and 600 by Prime Factorization

The second method to find GCF for numbers 180 and 600 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 600: 2, 2, 2, 3, 5, 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 600? (The answer is: 60). Select the first number (e.g. '180') and the second number (e.g. '600'). 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
18058545
1805862
1805871
18058812
1805891
18059010
1805913
1805924
1805931
18059418
1805955
1805964
1805973
1805982
1805991
18060060
1806011
1806022
1806039
1806044
1806055
1806066
1806071
1806084
1806093
18061010
1806111
18061236
1806131
1806142

FAQ

What is the Greatest Common Divisor of 180 and 600?

GCF of 180 and 600 is 60

How to find the GCF of 180 and 600?

You can find the GCF of 180 and 600 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 180 and 600 is 60.

What prime factors do 180 and 600 share?

The prime factorizations of 180 and 600 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 180/600?

Divide the numerator and the denominator by the GCF 60: 180 ÷ 60 = 3 and 600 ÷ 60 = 10. So 180/600 in lowest terms is 3/10.

See Also