What is the Greatest Common Factor of 36129 and 36134?

Greatest common factor (GCF) of 36129 and 36134 is 1.

GCF(36129,36134) = 1

We will now calculate the prime factors of 36129 and 36134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36129 and 36134.

How to find the GCF of 36129 and 36134?

We will first find the prime factorization of 36129 and 36134. After we will calculate the factors of 36129 and 36134 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 36134

Prime factors of 36134 are 2, 7, 29, 89. Prime factorization of 36134 in exponential form is:

36134 = 2¹ × 7¹ × 29¹ × 89¹

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 36134

List of positive integer factors of 36134 that divides 36129 without a remainder.

1, 2, 7, 14, 29, 58, 89, 178, 203, 406, 623, 1246, 2581, 5162, 18067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36129 and 36134. The biggest common factor number is the GCF number.
So the greatest common factor 36129 and 36134 is 1.

Also check out the Least Common Multiple of 36129 and 36134