GCF for 90 and 765

What is the Greatest Common Factor of 90 and 765?

Answer: GCF of 90 and 765 is 45

(Forty-five)

Finding GCF for 90 and 765 using all factors (divisors) listing

The first method to find GCF for numbers 90 and 765 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 765: 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

So the Greatest Common Factor for 90 and 765 is 45

Finding GCF for 90 and 765 by Prime Factorization

The second method to find GCF for numbers 90 and 765 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 765: 3, 3, 5, 17

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
7576515
767651
777651
787653
797651
807655
817659
827651
837651
847653
8576585
867651
877653
887651
897651
9076545
917651
927651
937653
947651
957655
967653
977651
987651
997659
1007655
1017651
10276551
1037651
1047651

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 765? (The answer is: 45). Select the first number (e.g. '90') and the second number (e.g. '765'). 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 765?

GCF of 90 and 765 is 45