What is the Greatest Common Factor of 37113 and 37122?

Greatest common factor (GCF) of 37113 and 37122 is 3.

GCF(37113,37122) = 3

We will now calculate the prime factors of 37113 and 37122, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37113 and 37122.

How to find the GCF of 37113 and 37122?

We will first find the prime factorization of 37113 and 37122. After we will calculate the factors of 37113 and 37122 and find the biggest common factor number .

Step-1: Prime Factorization of 37113

Prime factors of 37113 are 3, 89, 139. Prime factorization of 37113 in exponential form is:

37113 = 3¹ × 89¹ × 139¹

Step-2: Prime Factorization of 37122

Prime factors of 37122 are 2, 3, 23, 269. Prime factorization of 37122 in exponential form is:

37122 = 2¹ × 3¹ × 23¹ × 269¹

Step-3: Factors of 37113

List of positive integer factors of 37113 that divides 37113 without a remainder.

1, 3, 89, 139, 267, 417, 12371

Step-4: Factors of 37122

List of positive integer factors of 37122 that divides 37113 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 269, 538, 807, 1614, 6187, 12374, 18561

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37113 and 37122. The biggest common factor number is the GCF number.
So the greatest common factor 37113 and 37122 is 3.

Also check out the Least Common Multiple of 37113 and 37122