What is the Greatest Common Factor of 37896 and 37909?

Greatest common factor (GCF) of 37896 and 37909 is 1.

GCF(37896,37909) = 1

We will now calculate the prime factors of 37896 and 37909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37896 and 37909.

How to find the GCF of 37896 and 37909?

We will first find the prime factorization of 37896 and 37909. After we will calculate the factors of 37896 and 37909 and find the biggest common factor number .

Step-1: Prime Factorization of 37896

Prime factors of 37896 are 2, 3, 1579. Prime factorization of 37896 in exponential form is:

37896 = 2³ × 3¹ × 1579¹

Step-2: Prime Factorization of 37909

Prime factors of 37909 are 167, 227. Prime factorization of 37909 in exponential form is:

37909 = 167¹ × 227¹

Step-3: Factors of 37896

List of positive integer factors of 37896 that divides 37896 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1579, 3158, 4737, 6316, 9474, 12632, 18948

Step-4: Factors of 37909

List of positive integer factors of 37909 that divides 37896 without a remainder.

1, 167, 227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37896 and 37909. The biggest common factor number is the GCF number.
So the greatest common factor 37896 and 37909 is 1.

Also check out the Least Common Multiple of 37896 and 37909