What is the Greatest Common Factor of 37608 and 37623?

Greatest common factor (GCF) of 37608 and 37623 is 3.

GCF(37608,37623) = 3

We will now calculate the prime factors of 37608 and 37623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37608 and 37623.

How to find the GCF of 37608 and 37623?

We will first find the prime factorization of 37608 and 37623. After we will calculate the factors of 37608 and 37623 and find the biggest common factor number .

Step-1: Prime Factorization of 37608

Prime factors of 37608 are 2, 3, 1567. Prime factorization of 37608 in exponential form is:

37608 = 2³ × 3¹ × 1567¹

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 37608

List of positive integer factors of 37608 that divides 37608 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1567, 3134, 4701, 6268, 9402, 12536, 18804

Step-4: Factors of 37623

List of positive integer factors of 37623 that divides 37608 without a remainder.

1, 3, 12541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37608 and 37623. The biggest common factor number is the GCF number.
So the greatest common factor 37608 and 37623 is 3.

Also check out the Least Common Multiple of 37608 and 37623