What is the Greatest Common Factor of 52254 and 52271?

Greatest common factor (GCF) of 52254 and 52271 is 1.

GCF(52254,52271) = 1

We will now calculate the prime factors of 52254 and 52271, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52254 and 52271.

How to find the GCF of 52254 and 52271?

We will first find the prime factorization of 52254 and 52271. After we will calculate the factors of 52254 and 52271 and find the biggest common factor number .

Step-1: Prime Factorization of 52254

Prime factors of 52254 are 2, 3, 2903. Prime factorization of 52254 in exponential form is:

52254 = 2¹ × 3² × 2903¹

Step-2: Prime Factorization of 52271

Prime factors of 52271 are 167, 313. Prime factorization of 52271 in exponential form is:

52271 = 167¹ × 313¹

Step-3: Factors of 52254

List of positive integer factors of 52254 that divides 52254 without a remainder.

1, 2, 3, 6, 9, 18, 2903, 5806, 8709, 17418, 26127

Step-4: Factors of 52271

List of positive integer factors of 52271 that divides 52254 without a remainder.

1, 167, 313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52254 and 52271. The biggest common factor number is the GCF number.
So the greatest common factor 52254 and 52271 is 1.

Also check out the Least Common Multiple of 52254 and 52271