What is the Greatest Common Factor of 92912 and 92924?

Greatest common factor (GCF) of 92912 and 92924 is 4.

GCF(92912,92924) = 4

We will now calculate the prime factors of 92912 and 92924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92912 and 92924.

How to find the GCF of 92912 and 92924?

We will first find the prime factorization of 92912 and 92924. After we will calculate the factors of 92912 and 92924 and find the biggest common factor number .

Step-1: Prime Factorization of 92912

Prime factors of 92912 are 2, 5807. Prime factorization of 92912 in exponential form is:

92912 = 2⁴ × 5807¹

Step-2: Prime Factorization of 92924

Prime factors of 92924 are 2, 13, 1787. Prime factorization of 92924 in exponential form is:

92924 = 2² × 13¹ × 1787¹

Step-3: Factors of 92912

List of positive integer factors of 92912 that divides 92912 without a remainder.

1, 2, 4, 8, 16, 5807, 11614, 23228, 46456

Step-4: Factors of 92924

List of positive integer factors of 92924 that divides 92912 without a remainder.

1, 2, 4, 13, 26, 52, 1787, 3574, 7148, 23231, 46462

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92912 and 92924. The biggest common factor number is the GCF number.
So the greatest common factor 92912 and 92924 is 4.

Also check out the Least Common Multiple of 92912 and 92924