What is the Greatest Common Factor of 92088 and 92096?

Greatest common factor (GCF) of 92088 and 92096 is 8.

GCF(92088,92096) = 8

We will now calculate the prime factors of 92088 and 92096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92088 and 92096.

How to find the GCF of 92088 and 92096?

We will first find the prime factorization of 92088 and 92096. After we will calculate the factors of 92088 and 92096 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 92096

Prime factors of 92096 are 2, 1439. Prime factorization of 92096 in exponential form is:

92096 = 2⁶ × 1439¹

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 92096

List of positive integer factors of 92096 that divides 92088 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1439, 2878, 5756, 11512, 23024, 46048

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92088 and 92096. The biggest common factor number is the GCF number.
So the greatest common factor 92088 and 92096 is 8.

Also check out the Least Common Multiple of 92088 and 92096