What is the Greatest Common Factor of 92922 and 92937?

Greatest common factor (GCF) of 92922 and 92937 is 3.

GCF(92922,92937) = 3

We will now calculate the prime factors of 92922 and 92937, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92922 and 92937.

How to find the GCF of 92922 and 92937?

We will first find the prime factorization of 92922 and 92937. After we will calculate the factors of 92922 and 92937 and find the biggest common factor number .

Step-1: Prime Factorization of 92922

Prime factors of 92922 are 2, 3, 17, 911. Prime factorization of 92922 in exponential form is:

92922 = 2¹ × 3¹ × 17¹ × 911¹

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 92922

List of positive integer factors of 92922 that divides 92922 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 911, 1822, 2733, 5466, 15487, 30974, 46461

Step-4: Factors of 92937

List of positive integer factors of 92937 that divides 92922 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92922 and 92937. The biggest common factor number is the GCF number.
So the greatest common factor 92922 and 92937 is 3.

Also check out the Least Common Multiple of 92922 and 92937