What is the Greatest Common Factor of 37347 and 37363?

Greatest common factor (GCF) of 37347 and 37363 is 1.

GCF(37347,37363) = 1

We will now calculate the prime factors of 37347 and 37363, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37347 and 37363.

How to find the GCF of 37347 and 37363?

We will first find the prime factorization of 37347 and 37363. After we will calculate the factors of 37347 and 37363 and find the biggest common factor number .

Step-1: Prime Factorization of 37347

Prime factors of 37347 are 3, 59, 211. Prime factorization of 37347 in exponential form is:

37347 = 3¹ × 59¹ × 211¹

Step-2: Prime Factorization of 37363

Prime factors of 37363 are 37363. Prime factorization of 37363 in exponential form is:

37363 = 37363¹

Step-3: Factors of 37347

List of positive integer factors of 37347 that divides 37347 without a remainder.

1, 3, 59, 177, 211, 633, 12449

Step-4: Factors of 37363

List of positive integer factors of 37363 that divides 37347 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37347 and 37363. The biggest common factor number is the GCF number.
So the greatest common factor 37347 and 37363 is 1.

Also check out the Least Common Multiple of 37347 and 37363