What is the Greatest Common Factor of 72129 and 72134?

Greatest common factor (GCF) of 72129 and 72134 is 1.

GCF(72129,72134) = 1

We will now calculate the prime factors of 72129 and 72134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72129 and 72134.

How to find the GCF of 72129 and 72134?

We will first find the prime factorization of 72129 and 72134. After we will calculate the factors of 72129 and 72134 and find the biggest common factor number .

Step-1: Prime Factorization of 72129

Prime factors of 72129 are 3, 24043. Prime factorization of 72129 in exponential form is:

72129 = 3¹ × 24043¹

Step-2: Prime Factorization of 72134

Prime factors of 72134 are 2, 36067. Prime factorization of 72134 in exponential form is:

72134 = 2¹ × 36067¹

Step-3: Factors of 72129

List of positive integer factors of 72129 that divides 72129 without a remainder.

1, 3, 24043

Step-4: Factors of 72134

List of positive integer factors of 72134 that divides 72129 without a remainder.

1, 2, 36067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72129 and 72134. The biggest common factor number is the GCF number.
So the greatest common factor 72129 and 72134 is 1.

Also check out the Least Common Multiple of 72129 and 72134