What is the Greatest Common Factor of 36129 and 36146?

Greatest common factor (GCF) of 36129 and 36146 is 1.

GCF(36129,36146) = 1

We will now calculate the prime factors of 36129 and 36146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36129 and 36146.

How to find the GCF of 36129 and 36146?

We will first find the prime factorization of 36129 and 36146. After we will calculate the factors of 36129 and 36146 and find the biggest common factor number .

Step-1: Prime Factorization of 36129

Prime factors of 36129 are 3, 12043. Prime factorization of 36129 in exponential form is:

36129 = 3¹ × 12043¹

Step-2: Prime Factorization of 36146

Prime factors of 36146 are 2, 11, 31, 53. Prime factorization of 36146 in exponential form is:

36146 = 2¹ × 11¹ × 31¹ × 53¹

Step-3: Factors of 36129

List of positive integer factors of 36129 that divides 36129 without a remainder.

1, 3, 12043

Step-4: Factors of 36146

List of positive integer factors of 36146 that divides 36129 without a remainder.

1, 2, 11, 22, 31, 53, 62, 106, 341, 583, 682, 1166, 1643, 3286, 18073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36129 and 36146. The biggest common factor number is the GCF number.
So the greatest common factor 36129 and 36146 is 1.

Also check out the Least Common Multiple of 36129 and 36146