What is the Greatest Common Factor of 90675 and 90688?

Greatest common factor (GCF) of 90675 and 90688 is 13.

GCF(90675,90688) = 13

We will now calculate the prime factors of 90675 and 90688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90675 and 90688.

How to find the GCF of 90675 and 90688?

We will first find the prime factorization of 90675 and 90688. After we will calculate the factors of 90675 and 90688 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 90688

Prime factors of 90688 are 2, 13, 109. Prime factorization of 90688 in exponential form is:

90688 = 2⁶ × 13¹ × 109¹

Step-3: Factors of 90675

List of positive integer factors of 90675 that divides 90675 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

Step-4: Factors of 90688

List of positive integer factors of 90688 that divides 90675 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 109, 208, 218, 416, 436, 832, 872, 1417, 1744, 2834, 3488, 5668, 6976, 11336, 22672, 45344

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90675 and 90688. The biggest common factor number is the GCF number.
So the greatest common factor 90675 and 90688 is 13.

Also check out the Least Common Multiple of 90675 and 90688