GCF for 90 and 360

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 90 and 360?

Answer: GCF of 90 and 360 is 90

(Ninety)

Finding GCF for 90 and 360 using all factors (divisors) listing

The first method to find GCF for numbers 90 and 360 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 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

So the Greatest Common Factor for 90 and 360 is 90

Finding GCF for 90 and 360 by Prime Factorization

The second method to find GCF for numbers 90 and 360 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 360: 2, 2, 2, 3, 3, 5

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

Now we need to multiply them to find GCF: 2 × 3 × 3 × 5 = 90

See Also

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 360? (The answer is: 90). Select the first number (e.g. '90') and the second number (e.g. '360'). 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
7536015
763604
773601
783606
793601
8036040
813609
823602
833601
8436012
853605
863602
873603
883608
893601
9036090
913601
923604
933603
943602
953605
9636024
973601
983602
993609
10036020
1013601
1023606
1033601
1043608

FAQ

What is the Greatest common Divisor of 90 and 360?

GCF of 90 and 360 is 90

See Also