What is the Greatest Common Factor of 92924 and 92937?

Greatest common factor (GCF) of 92924 and 92937 is 13.

GCF(92924,92937) = 13

We will now calculate the prime factors of 92924 and 92937, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92924 and 92937.

How to find the GCF of 92924 and 92937?

We will first find the prime factorization of 92924 and 92937. After we will calculate the factors of 92924 and 92937 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 92937

Prime factors of 92937 are 3, 13, 2383. Prime factorization of 92937 in exponential form is:

92937 = 3¹ × 13¹ × 2383¹

Step-3: Factors of 92924

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

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

Step-4: Factors of 92937

List of positive integer factors of 92937 that divides 92924 without a remainder.

1, 3, 13, 39, 2383, 7149, 30979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92924 and 92937. The biggest common factor number is the GCF number.
So the greatest common factor 92924 and 92937 is 13.

Also check out the Least Common Multiple of 92924 and 92937