What is the Greatest Common Factor of 36138 and 36142?

Greatest common factor (GCF) of 36138 and 36142 is 2.

GCF(36138,36142) = 2

We will now calculate the prime factors of 36138 and 36142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36138 and 36142.

How to find the GCF of 36138 and 36142?

We will first find the prime factorization of 36138 and 36142. After we will calculate the factors of 36138 and 36142 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 36142

Prime factors of 36142 are 2, 17, 1063. Prime factorization of 36142 in exponential form is:

36142 = 2¹ × 17¹ × 1063¹

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 36142

List of positive integer factors of 36142 that divides 36138 without a remainder.

1, 2, 17, 34, 1063, 2126, 18071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36138 and 36142. The biggest common factor number is the GCF number.
So the greatest common factor 36138 and 36142 is 2.

Also check out the Least Common Multiple of 36138 and 36142