What is the Greatest Common Factor of 90662 and 90675?

Greatest common factor (GCF) of 90662 and 90675 is 13.

GCF(90662,90675) = 13

We will now calculate the prime factors of 90662 and 90675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90662 and 90675.

How to find the GCF of 90662 and 90675?

We will first find the prime factorization of 90662 and 90675. After we will calculate the factors of 90662 and 90675 and find the biggest common factor number .

Step-1: Prime Factorization of 90662

Prime factors of 90662 are 2, 11, 13, 317. Prime factorization of 90662 in exponential form is:

90662 = 2¹ × 11¹ × 13¹ × 317¹

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 90662

List of positive integer factors of 90662 that divides 90662 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286, 317, 634, 3487, 4121, 6974, 8242, 45331

Step-4: Factors of 90675

List of positive integer factors of 90675 that divides 90662 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 90662 and 90675. The biggest common factor number is the GCF number.
So the greatest common factor 90662 and 90675 is 13.

Also check out the Least Common Multiple of 90662 and 90675