What is the Greatest Common Factor of 36933 and 36946?

Greatest common factor (GCF) of 36933 and 36946 is 13.

GCF(36933,36946) = 13

We will now calculate the prime factors of 36933 and 36946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36933 and 36946.

How to find the GCF of 36933 and 36946?

We will first find the prime factorization of 36933 and 36946. After we will calculate the factors of 36933 and 36946 and find the biggest common factor number .

Step-1: Prime Factorization of 36933

Prime factors of 36933 are 3, 13, 947. Prime factorization of 36933 in exponential form is:

36933 = 3¹ × 13¹ × 947¹

Step-2: Prime Factorization of 36946

Prime factors of 36946 are 2, 7, 13, 29. Prime factorization of 36946 in exponential form is:

36946 = 2¹ × 7² × 13¹ × 29¹

Step-3: Factors of 36933

List of positive integer factors of 36933 that divides 36933 without a remainder.

1, 3, 13, 39, 947, 2841, 12311

Step-4: Factors of 36946

List of positive integer factors of 36946 that divides 36933 without a remainder.

1, 2, 7, 13, 14, 26, 29, 49, 58, 91, 98, 182, 203, 377, 406, 637, 754, 1274, 1421, 2639, 2842, 5278, 18473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36933 and 36946. The biggest common factor number is the GCF number.
So the greatest common factor 36933 and 36946 is 13.

Also check out the Least Common Multiple of 36933 and 36946