What is the Greatest Common Factor of 92908 and 92920?

Greatest common factor (GCF) of 92908 and 92920 is 4.

GCF(92908,92920) = 4

We will now calculate the prime factors of 92908 and 92920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92908 and 92920.

How to find the GCF of 92908 and 92920?

We will first find the prime factorization of 92908 and 92920. After we will calculate the factors of 92908 and 92920 and find the biggest common factor number .

Step-1: Prime Factorization of 92908

Prime factors of 92908 are 2, 23227. Prime factorization of 92908 in exponential form is:

92908 = 2² × 23227¹

Step-2: Prime Factorization of 92920

Prime factors of 92920 are 2, 5, 23, 101. Prime factorization of 92920 in exponential form is:

92920 = 2³ × 5¹ × 23¹ × 101¹

Step-3: Factors of 92908

List of positive integer factors of 92908 that divides 92908 without a remainder.

1, 2, 4, 23227, 46454

Step-4: Factors of 92920

List of positive integer factors of 92920 that divides 92908 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 101, 115, 184, 202, 230, 404, 460, 505, 808, 920, 1010, 2020, 2323, 4040, 4646, 9292, 11615, 18584, 23230, 46460

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92908 and 92920. The biggest common factor number is the GCF number.
So the greatest common factor 92908 and 92920 is 4.

Also check out the Least Common Multiple of 92908 and 92920