GCF for 90 and 585

What is the Greatest common Divisor of 90 and 585?

Answer: GCF of 90 and 585 is 45

(Forty-five)

Finding GCF for 90 and 585 using all factors (divisors) listing

The first method to find GCF for numbers 90 and 585 is to list all factors for both numbers and pick the highest common one:

All factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

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

So the Greatest Common Factor for 90 and 585 is 45

Finding GCF for 90 and 585 by Prime Factorization

The second method to find GCF for numbers 90 and 585 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 90: 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

GCF Table

Number 1Number 2GCF
7558515
765851
775851
7858539
795851
805855
815859
825851
835851
845853
855855
865851
875853
885851
895851
9058545
9158513
925851
935853
945851
955855
965853
975851
985851
995859
1005855
1015851
1025853
1035851
10458513

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 90 and 585? (The answer is: 45). Select the first number (e.g. '90') 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

FAQ

What is the Greatest common Divisor of 90 and 585?

GCF of 90 and 585 is 45