What is the Greatest Common Factor of 37323 and 37336?

Greatest common factor (GCF) of 37323 and 37336 is 13.

GCF(37323,37336) = 13

We will now calculate the prime factors of 37323 and 37336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37323 and 37336.

How to find the GCF of 37323 and 37336?

We will first find the prime factorization of 37323 and 37336. After we will calculate the factors of 37323 and 37336 and find the biggest common factor number .

Step-1: Prime Factorization of 37323

Prime factors of 37323 are 3, 11, 13, 29. Prime factorization of 37323 in exponential form is:

37323 = 3² × 11¹ × 13¹ × 29¹

Step-2: Prime Factorization of 37336

Prime factors of 37336 are 2, 13, 359. Prime factorization of 37336 in exponential form is:

37336 = 2³ × 13¹ × 359¹

Step-3: Factors of 37323

List of positive integer factors of 37323 that divides 37323 without a remainder.

1, 3, 9, 11, 13, 29, 33, 39, 87, 99, 117, 143, 261, 319, 377, 429, 957, 1131, 1287, 2871, 3393, 4147, 12441

Step-4: Factors of 37336

List of positive integer factors of 37336 that divides 37323 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 359, 718, 1436, 2872, 4667, 9334, 18668

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37323 and 37336. The biggest common factor number is the GCF number.
So the greatest common factor 37323 and 37336 is 13.

Also check out the Least Common Multiple of 37323 and 37336