What is the Greatest Common Factor of 90670 and 90675?

Greatest common factor (GCF) of 90670 and 90675 is 5.

GCF(90670,90675) = 5

We will now calculate the prime factors of 90670 and 90675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90670 and 90675.

How to find the GCF of 90670 and 90675?

We will first find the prime factorization of 90670 and 90675. After we will calculate the factors of 90670 and 90675 and find the biggest common factor number .

Step-1: Prime Factorization of 90670

Prime factors of 90670 are 2, 5, 9067. Prime factorization of 90670 in exponential form is:

90670 = 2¹ × 5¹ × 9067¹

Step-2: Prime Factorization of 90675

Prime factors of 90675 are 3, 5, 13, 31. Prime factorization of 90675 in exponential form is:

90675 = 3² × 5² × 13¹ × 31¹

Step-3: Factors of 90670

List of positive integer factors of 90670 that divides 90670 without a remainder.

1, 2, 5, 10, 9067, 18134, 45335

Step-4: Factors of 90675

List of positive integer factors of 90675 that divides 90670 without a remainder.

1, 3, 5, 9, 13, 15, 25, 31, 39, 45, 65, 75, 93, 117, 155, 195, 225, 279, 325, 403, 465, 585, 775, 975, 1209, 1395, 2015, 2325, 2925, 3627, 6045, 6975, 10075, 18135, 30225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90670 and 90675. The biggest common factor number is the GCF number.
So the greatest common factor 90670 and 90675 is 5.

Also check out the Least Common Multiple of 90670 and 90675