What is the Greatest Common Factor of 36123 and 36138?

Greatest common factor (GCF) of 36123 and 36138 is 3.

GCF(36123,36138) = 3

We will now calculate the prime factors of 36123 and 36138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36123 and 36138.

How to find the GCF of 36123 and 36138?

We will first find the prime factorization of 36123 and 36138. After we will calculate the factors of 36123 and 36138 and find the biggest common factor number .

Step-1: Prime Factorization of 36123

Prime factors of 36123 are 3, 12041. Prime factorization of 36123 in exponential form is:

36123 = 3¹ × 12041¹

Step-2: 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-3: Factors of 36123

List of positive integer factors of 36123 that divides 36123 without a remainder.

1, 3, 12041

Step-4: Factors of 36138

List of positive integer factors of 36138 that divides 36123 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36123 and 36138. The biggest common factor number is the GCF number.
So the greatest common factor 36123 and 36138 is 3.

Also check out the Least Common Multiple of 36123 and 36138