What is the Greatest Common Factor of 37299 and 37317?

Greatest common factor (GCF) of 37299 and 37317 is 3.

GCF(37299,37317) = 3

We will now calculate the prime factors of 37299 and 37317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37299 and 37317.

How to find the GCF of 37299 and 37317?

We will first find the prime factorization of 37299 and 37317. After we will calculate the factors of 37299 and 37317 and find the biggest common factor number .

Step-1: Prime Factorization of 37299

Prime factors of 37299 are 3, 12433. Prime factorization of 37299 in exponential form is:

37299 = 3¹ × 12433¹

Step-2: Prime Factorization of 37317

Prime factors of 37317 are 3, 7, 1777. Prime factorization of 37317 in exponential form is:

37317 = 3¹ × 7¹ × 1777¹

Step-3: Factors of 37299

List of positive integer factors of 37299 that divides 37299 without a remainder.

1, 3, 12433

Step-4: Factors of 37317

List of positive integer factors of 37317 that divides 37299 without a remainder.

1, 3, 7, 21, 1777, 5331, 12439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37299 and 37317. The biggest common factor number is the GCF number.
So the greatest common factor 37299 and 37317 is 3.

Also check out the Least Common Multiple of 37299 and 37317