What is the Greatest Common Factor of 12053 and 12069?

Greatest common factor (GCF) of 12053 and 12069 is 1.

GCF(12053,12069) = 1

We will now calculate the prime factors of 12053 and 12069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12053 and 12069.

How to find the GCF of 12053 and 12069?

We will first find the prime factorization of 12053 and 12069. After we will calculate the factors of 12053 and 12069 and find the biggest common factor number .

Step-1: Prime Factorization of 12053

Prime factors of 12053 are 17, 709. Prime factorization of 12053 in exponential form is:

12053 = 17¹ × 709¹

Step-2: Prime Factorization of 12069

Prime factors of 12069 are 3, 149. Prime factorization of 12069 in exponential form is:

12069 = 3⁴ × 149¹

Step-3: Factors of 12053

List of positive integer factors of 12053 that divides 12053 without a remainder.

1, 17, 709

Step-4: Factors of 12069

List of positive integer factors of 12069 that divides 12053 without a remainder.

1, 3, 9, 27, 81, 149, 447, 1341, 4023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12053 and 12069. The biggest common factor number is the GCF number.
So the greatest common factor 12053 and 12069 is 1.

Also check out the Least Common Multiple of 12053 and 12069