What is the Greatest Common Factor of 92088 and 92102?

Greatest common factor (GCF) of 92088 and 92102 is 2.

GCF(92088,92102) = 2

We will now calculate the prime factors of 92088 and 92102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92088 and 92102.

How to find the GCF of 92088 and 92102?

We will first find the prime factorization of 92088 and 92102. After we will calculate the factors of 92088 and 92102 and find the biggest common factor number .

Step-1: Prime Factorization of 92088

Prime factors of 92088 are 2, 3, 1279. Prime factorization of 92088 in exponential form is:

92088 = 2³ × 3² × 1279¹

Step-2: Prime Factorization of 92102

Prime factors of 92102 are 2, 46051. Prime factorization of 92102 in exponential form is:

92102 = 2¹ × 46051¹

Step-3: Factors of 92088

List of positive integer factors of 92088 that divides 92088 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1279, 2558, 3837, 5116, 7674, 10232, 11511, 15348, 23022, 30696, 46044

Step-4: Factors of 92102

List of positive integer factors of 92102 that divides 92088 without a remainder.

1, 2, 46051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92088 and 92102. The biggest common factor number is the GCF number.
So the greatest common factor 92088 and 92102 is 2.

Also check out the Least Common Multiple of 92088 and 92102