What is the Greatest Common Factor of 37122 and 37142?

Greatest common factor (GCF) of 37122 and 37142 is 2.

GCF(37122,37142) = 2

We will now calculate the prime factors of 37122 and 37142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37122 and 37142.

How to find the GCF of 37122 and 37142?

We will first find the prime factorization of 37122 and 37142. After we will calculate the factors of 37122 and 37142 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 37142

Prime factors of 37142 are 2, 7, 379. Prime factorization of 37142 in exponential form is:

37142 = 2¹ × 7² × 379¹

Step-3: Factors of 37122

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

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

Step-4: Factors of 37142

List of positive integer factors of 37142 that divides 37122 without a remainder.

1, 2, 7, 14, 49, 98, 379, 758, 2653, 5306, 18571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37122 and 37142. The biggest common factor number is the GCF number.
So the greatest common factor 37122 and 37142 is 2.

Also check out the Least Common Multiple of 37122 and 37142