What is the Greatest Common Factor of 37299 and 37308?

Greatest common factor (GCF) of 37299 and 37308 is 3.

GCF(37299,37308) = 3

We will now calculate the prime factors of 37299 and 37308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37299 and 37308.

How to find the GCF of 37299 and 37308?

We will first find the prime factorization of 37299 and 37308. After we will calculate the factors of 37299 and 37308 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 37308

Prime factors of 37308 are 2, 3, 3109. Prime factorization of 37308 in exponential form is:

37308 = 2² × 3¹ × 3109¹

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 37308

List of positive integer factors of 37308 that divides 37299 without a remainder.

1, 2, 3, 4, 6, 12, 3109, 6218, 9327, 12436, 18654

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37299 and 37308. The biggest common factor number is the GCF number.
So the greatest common factor 37299 and 37308 is 3.

Also check out the Least Common Multiple of 37299 and 37308