What is the Greatest Common Factor of 37146 and 37162?

Greatest common factor (GCF) of 37146 and 37162 is 2.

GCF(37146,37162) = 2

We will now calculate the prime factors of 37146 and 37162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37146 and 37162.

How to find the GCF of 37146 and 37162?

We will first find the prime factorization of 37146 and 37162. After we will calculate the factors of 37146 and 37162 and find the biggest common factor number .

Step-1: Prime Factorization of 37146

Prime factors of 37146 are 2, 3, 41, 151. Prime factorization of 37146 in exponential form is:

37146 = 2¹ × 3¹ × 41¹ × 151¹

Step-2: Prime Factorization of 37162

Prime factors of 37162 are 2, 17, 1093. Prime factorization of 37162 in exponential form is:

37162 = 2¹ × 17¹ × 1093¹

Step-3: Factors of 37146

List of positive integer factors of 37146 that divides 37146 without a remainder.

1, 2, 3, 6, 41, 82, 123, 151, 246, 302, 453, 906, 6191, 12382, 18573

Step-4: Factors of 37162

List of positive integer factors of 37162 that divides 37146 without a remainder.

1, 2, 17, 34, 1093, 2186, 18581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37146 and 37162. The biggest common factor number is the GCF number.
So the greatest common factor 37146 and 37162 is 2.

Also check out the Least Common Multiple of 37146 and 37162