What is the Greatest Common Factor of 37158 and 37167?

Greatest common factor (GCF) of 37158 and 37167 is 3.

GCF(37158,37167) = 3

We will now calculate the prime factors of 37158 and 37167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37158 and 37167.

How to find the GCF of 37158 and 37167?

We will first find the prime factorization of 37158 and 37167. After we will calculate the factors of 37158 and 37167 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 37167

Prime factors of 37167 are 3, 13, 953. Prime factorization of 37167 in exponential form is:

37167 = 3¹ × 13¹ × 953¹

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 37167

List of positive integer factors of 37167 that divides 37158 without a remainder.

1, 3, 13, 39, 953, 2859, 12389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37158 and 37167. The biggest common factor number is the GCF number.
So the greatest common factor 37158 and 37167 is 3.

Also check out the Least Common Multiple of 37158 and 37167