What is the Greatest Common Factor of 37122 and 37136?

Greatest common factor (GCF) of 37122 and 37136 is 2.

GCF(37122,37136) = 2

We will now calculate the prime factors of 37122 and 37136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37122 and 37136.

How to find the GCF of 37122 and 37136?

We will first find the prime factorization of 37122 and 37136. After we will calculate the factors of 37122 and 37136 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 37136

Prime factors of 37136 are 2, 11, 211. Prime factorization of 37136 in exponential form is:

37136 = 2⁴ × 11¹ × 211¹

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 37136

List of positive integer factors of 37136 that divides 37122 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 211, 422, 844, 1688, 2321, 3376, 4642, 9284, 18568

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37122 and 37136. The biggest common factor number is the GCF number.
So the greatest common factor 37122 and 37136 is 2.

Also check out the Least Common Multiple of 37122 and 37136