GCF for 90 and 705

What is the Greatest Common Factor of 90 and 705?

Answer: GCF of 90 and 705 is 15

(Fifteen)

Finding GCF for 90 and 705 using all factors (divisors) listing

The first method to find GCF for numbers 90 and 705 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 705: 1, 3, 5, 15, 47, 141, 235, 705

So the Greatest Common Factor for 90 and 705 is 15

Finding GCF for 90 and 705 by Prime Factorization

The second method to find GCF for numbers 90 and 705 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 705: 3, 5, 47

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

Now we need to multiply them to find GCF: 3 × 5 = 15

GCF Table

Number 1Number 2GCF
7570515
767051
777051
787053
797051
807055
817053
827051
837051
847053
857055
867051
877053
887051
897051
9070515
917051
927051
937053
9470547
957055
967053
977051
987051
997053
1007055
1017051
1027053
1037051
1047051

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 705? (The answer is: 15). Select the first number (e.g. '90') and the second number (e.g. '705'). 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 705?

GCF of 90 and 705 is 15