What is the Greatest Common Factor of 37323 and 37329?

Greatest common factor (GCF) of 37323 and 37329 is 3.

GCF(37323,37329) = 3

We will now calculate the prime factors of 37323 and 37329, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37323 and 37329.

How to find the GCF of 37323 and 37329?

We will first find the prime factorization of 37323 and 37329. After we will calculate the factors of 37323 and 37329 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 37329

Prime factors of 37329 are 3, 23, 541. Prime factorization of 37329 in exponential form is:

37329 = 3¹ × 23¹ × 541¹

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 37329

List of positive integer factors of 37329 that divides 37323 without a remainder.

1, 3, 23, 69, 541, 1623, 12443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37323 and 37329. The biggest common factor number is the GCF number.
So the greatest common factor 37323 and 37329 is 3.

Also check out the Least Common Multiple of 37323 and 37329