What is the Greatest Common Factor of 37158 and 37166?

Greatest common factor (GCF) of 37158 and 37166 is 2.

GCF(37158,37166) = 2

We will now calculate the prime factors of 37158 and 37166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37158 and 37166.

How to find the GCF of 37158 and 37166?

We will first find the prime factorization of 37158 and 37166. After we will calculate the factors of 37158 and 37166 and find the biggest common factor number .

Step-1: Prime Factorization of 37158

Prime factors of 37158 are 2, 3, 11, 563. Prime factorization of 37158 in exponential form is:

37158 = 2¹ × 3¹ × 11¹ × 563¹

Step-2: Prime Factorization of 37166

Prime factors of 37166 are 2, 18583. Prime factorization of 37166 in exponential form is:

37166 = 2¹ × 18583¹

Step-3: Factors of 37158

List of positive integer factors of 37158 that divides 37158 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 563, 1126, 1689, 3378, 6193, 12386, 18579

Step-4: Factors of 37166

List of positive integer factors of 37166 that divides 37158 without a remainder.

1, 2, 18583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37158 and 37166. The biggest common factor number is the GCF number.
So the greatest common factor 37158 and 37166 is 2.

Also check out the Least Common Multiple of 37158 and 37166