What is the Greatest Common Factor of 37599 and 37614?

Greatest common factor (GCF) of 37599 and 37614 is 3.

GCF(37599,37614) = 3

We will now calculate the prime factors of 37599 and 37614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37599 and 37614.

How to find the GCF of 37599 and 37614?

We will first find the prime factorization of 37599 and 37614. After we will calculate the factors of 37599 and 37614 and find the biggest common factor number .

Step-1: Prime Factorization of 37599

Prime factors of 37599 are 3, 83, 151. Prime factorization of 37599 in exponential form is:

37599 = 3¹ × 83¹ × 151¹

Step-2: Prime Factorization of 37614

Prime factors of 37614 are 2, 3, 6269. Prime factorization of 37614 in exponential form is:

37614 = 2¹ × 3¹ × 6269¹

Step-3: Factors of 37599

List of positive integer factors of 37599 that divides 37599 without a remainder.

1, 3, 83, 151, 249, 453, 12533

Step-4: Factors of 37614

List of positive integer factors of 37614 that divides 37599 without a remainder.

1, 2, 3, 6, 6269, 12538, 18807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37599 and 37614. The biggest common factor number is the GCF number.
So the greatest common factor 37599 and 37614 is 3.

Also check out the Least Common Multiple of 37599 and 37614