What is the Greatest Common Factor of 36138 and 36158?

Greatest common factor (GCF) of 36138 and 36158 is 2.

GCF(36138,36158) = 2

We will now calculate the prime factors of 36138 and 36158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36138 and 36158.

How to find the GCF of 36138 and 36158?

We will first find the prime factorization of 36138 and 36158. After we will calculate the factors of 36138 and 36158 and find the biggest common factor number .

Step-1: Prime Factorization of 36138

Prime factors of 36138 are 2, 3, 19, 317. Prime factorization of 36138 in exponential form is:

36138 = 2¹ × 3¹ × 19¹ × 317¹

Step-2: Prime Factorization of 36158

Prime factors of 36158 are 2, 101, 179. Prime factorization of 36158 in exponential form is:

36158 = 2¹ × 101¹ × 179¹

Step-3: Factors of 36138

List of positive integer factors of 36138 that divides 36138 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 317, 634, 951, 1902, 6023, 12046, 18069

Step-4: Factors of 36158

List of positive integer factors of 36158 that divides 36138 without a remainder.

1, 2, 101, 179, 202, 358, 18079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36138 and 36158. The biggest common factor number is the GCF number.
So the greatest common factor 36138 and 36158 is 2.

Also check out the Least Common Multiple of 36138 and 36158