What is the Greatest Common Factor of 37593 and 37605?

Greatest common factor (GCF) of 37593 and 37605 is 3.

GCF(37593,37605) = 3

We will now calculate the prime factors of 37593 and 37605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37593 and 37605.

How to find the GCF of 37593 and 37605?

We will first find the prime factorization of 37593 and 37605. After we will calculate the factors of 37593 and 37605 and find the biggest common factor number .

Step-1: Prime Factorization of 37593

Prime factors of 37593 are 3, 4177. Prime factorization of 37593 in exponential form is:

37593 = 3² × 4177¹

Step-2: Prime Factorization of 37605

Prime factors of 37605 are 3, 5, 23, 109. Prime factorization of 37605 in exponential form is:

37605 = 3¹ × 5¹ × 23¹ × 109¹

Step-3: Factors of 37593

List of positive integer factors of 37593 that divides 37593 without a remainder.

1, 3, 9, 4177, 12531

Step-4: Factors of 37605

List of positive integer factors of 37605 that divides 37593 without a remainder.

1, 3, 5, 15, 23, 69, 109, 115, 327, 345, 545, 1635, 2507, 7521, 12535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37593 and 37605. The biggest common factor number is the GCF number.
So the greatest common factor 37593 and 37605 is 3.

Also check out the Least Common Multiple of 37593 and 37605