What is the Greatest Common Factor of 37323 and 37327?

Greatest common factor (GCF) of 37323 and 37327 is 1.

GCF(37323,37327) = 1

We will now calculate the prime factors of 37323 and 37327, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37323 and 37327.

How to find the GCF of 37323 and 37327?

We will first find the prime factorization of 37323 and 37327. After we will calculate the factors of 37323 and 37327 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 37327

Prime factors of 37327 are 163, 229. Prime factorization of 37327 in exponential form is:

37327 = 163¹ × 229¹

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 37327

List of positive integer factors of 37327 that divides 37323 without a remainder.

1, 163, 229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37323 and 37327. The biggest common factor number is the GCF number.
So the greatest common factor 37323 and 37327 is 1.

Also check out the Least Common Multiple of 37323 and 37327