What is the Greatest Common Factor of 37617 and 37623?

Greatest common factor (GCF) of 37617 and 37623 is 3.

GCF(37617,37623) = 3

We will now calculate the prime factors of 37617 and 37623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37617 and 37623.

How to find the GCF of 37617 and 37623?

We will first find the prime factorization of 37617 and 37623. After we will calculate the factors of 37617 and 37623 and find the biggest common factor number .

Step-1: Prime Factorization of 37617

Prime factors of 37617 are 3, 12539. Prime factorization of 37617 in exponential form is:

37617 = 3¹ × 12539¹

Step-2: Prime Factorization of 37623

Prime factors of 37623 are 3, 12541. Prime factorization of 37623 in exponential form is:

37623 = 3¹ × 12541¹

Step-3: Factors of 37617

List of positive integer factors of 37617 that divides 37617 without a remainder.

1, 3, 12539

Step-4: Factors of 37623

List of positive integer factors of 37623 that divides 37617 without a remainder.

1, 3, 12541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37617 and 37623. The biggest common factor number is the GCF number.
So the greatest common factor 37617 and 37623 is 3.

Also check out the Least Common Multiple of 37617 and 37623