What is the Greatest Common Factor of 37623 and 37629?

Greatest common factor (GCF) of 37623 and 37629 is 3.

GCF(37623,37629) = 3

We will now calculate the prime factors of 37623 and 37629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37623 and 37629.

How to find the GCF of 37623 and 37629?

We will first find the prime factorization of 37623 and 37629. After we will calculate the factors of 37623 and 37629 and find the biggest common factor number .

Step-1: Prime Factorization of 37623

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

37623 = 3¹ × 12541¹

Step-2: Prime Factorization of 37629

Prime factors of 37629 are 3, 37, 113. Prime factorization of 37629 in exponential form is:

37629 = 3² × 37¹ × 113¹

Step-3: Factors of 37623

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

1, 3, 12541

Step-4: Factors of 37629

List of positive integer factors of 37629 that divides 37623 without a remainder.

1, 3, 9, 37, 111, 113, 333, 339, 1017, 4181, 12543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37623 and 37629. The biggest common factor number is the GCF number.
So the greatest common factor 37623 and 37629 is 3.

Also check out the Least Common Multiple of 37623 and 37629