GCF of 360 and 585 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 360 and 585?

Answer

GCF of 360 and 585 is
45

(Forty-five)

Finding GCF for 360 and 585 using all factors (divisors) listing

The first method to find GCF for numbers 360 and 585 is to list all factors for both numbers and pick the highest common one:

All factors of 360: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

All factors of 585: 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

So the Greatest Common Factor for 360 and 585 is 45

Finding GCF for 360 and 585 by Prime Factorization

The second method to find GCF for numbers 360 and 585 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 360: 2, 2, 2, 3, 3, 5

All Prime Factors of 585: 3, 3, 5, 13

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 360 and 585? (The answer is: 45). Select the first number (e.g. '360') and the second number (e.g. '585'). 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
36057030
3605711
3605724
3605733
3605742
3605755
36057672
3605771
3605782
3605793
36058020
3605811
3605826
3605831
3605848
36058545
3605862
3605871
36058812
3605891
36059010
3605913
3605928
3605931
36059418
3605955
3605964
3605973
3605982
3605991

FAQ

What is the Greatest Common Divisor of 360 and 585?

GCF of 360 and 585 is 45

How to find the GCF of 360 and 585?

You can find the GCF of 360 and 585 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 360 and 585 is 45.

What prime factors do 360 and 585 share?

The prime factorizations of 360 and 585 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 360/585?

Divide the numerator and the denominator by the GCF 45: 360 ÷ 45 = 8 and 585 ÷ 45 = 13. So 360/585 in lowest terms is 8/13.

See Also