What is the Greatest Common Factor of 37293 and 37308?

Greatest common factor (GCF) of 37293 and 37308 is 3.

GCF(37293,37308) = 3

We will now calculate the prime factors of 37293 and 37308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37293 and 37308.

How to find the GCF of 37293 and 37308?

We will first find the prime factorization of 37293 and 37308. After we will calculate the factors of 37293 and 37308 and find the biggest common factor number .

Step-1: Prime Factorization of 37293

Prime factors of 37293 are 3, 31, 401. Prime factorization of 37293 in exponential form is:

37293 = 3¹ × 31¹ × 401¹

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 37293

List of positive integer factors of 37293 that divides 37293 without a remainder.

1, 3, 31, 93, 401, 1203, 12431

Step-4: Factors of 37308

List of positive integer factors of 37308 that divides 37293 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 37293 and 37308. The biggest common factor number is the GCF number.
So the greatest common factor 37293 and 37308 is 3.

Also check out the Least Common Multiple of 37293 and 37308