What is the Greatest Common Factor of 90088 and 90102?

Greatest common factor (GCF) of 90088 and 90102 is 2.

GCF(90088,90102) = 2

We will now calculate the prime factors of 90088 and 90102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90088 and 90102.

How to find the GCF of 90088 and 90102?

We will first find the prime factorization of 90088 and 90102. After we will calculate the factors of 90088 and 90102 and find the biggest common factor number .

Step-1: Prime Factorization of 90088

Prime factors of 90088 are 2, 11261. Prime factorization of 90088 in exponential form is:

90088 = 2³ × 11261¹

Step-2: Prime Factorization of 90102

Prime factors of 90102 are 2, 3, 15017. Prime factorization of 90102 in exponential form is:

90102 = 2¹ × 3¹ × 15017¹

Step-3: Factors of 90088

List of positive integer factors of 90088 that divides 90088 without a remainder.

1, 2, 4, 8, 11261, 22522, 45044

Step-4: Factors of 90102

List of positive integer factors of 90102 that divides 90088 without a remainder.

1, 2, 3, 6, 15017, 30034, 45051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90088 and 90102. The biggest common factor number is the GCF number.
So the greatest common factor 90088 and 90102 is 2.

Also check out the Least Common Multiple of 90088 and 90102