GCF for 90 and 275

What is the Greatest Common Factor of 90 and 275?

Answer: GCF of 90 and 275 is 5

(Five)

Finding GCF for 90 and 275 using all factors (divisors) listing

The first method to find GCF for numbers 90 and 275 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 275: 1, 5, 11, 25, 55, 275

So the Greatest Common Factor for 90 and 275 is 5

Finding GCF for 90 and 275 by Prime Factorization

The second method to find GCF for numbers 90 and 275 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 275: 5, 5, 11

As we can see there is only one Prime Factor common to both numbers. It is 5

So 5 is the Greatest Common Factor of 90 and 275

GCF Table

Number 1Number 2GCF
7527525
762751
7727511
782751
792751
802755
812751
822751
832751
842751
852755
862751
872751
8827511
892751
902755
912751
922751
932751
942751
952755
962751
972751
982751
9927511
10027525
1012751
1022751
1032751
1042751

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 Factor of 90 and 275? (The answer is: 5). Select the first number (e.g. '90') and the second number (e.g. '275'). 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 Factor of 90 and 275?

GCF of 90 and 275 is 5