What is the Greatest Common Factor of 52401 and 52413?

Greatest common factor (GCF) of 52401 and 52413 is 3.

GCF(52401,52413) = 3

We will now calculate the prime factors of 52401 and 52413, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52401 and 52413.

How to find the GCF of 52401 and 52413?

We will first find the prime factorization of 52401 and 52413. After we will calculate the factors of 52401 and 52413 and find the biggest common factor number .

Step-1: Prime Factorization of 52401

Prime factors of 52401 are 3, 17467. Prime factorization of 52401 in exponential form is:

52401 = 3¹ × 17467¹

Step-2: Prime Factorization of 52413

Prime factors of 52413 are 3, 17471. Prime factorization of 52413 in exponential form is:

52413 = 3¹ × 17471¹

Step-3: Factors of 52401

List of positive integer factors of 52401 that divides 52401 without a remainder.

1, 3, 17467

Step-4: Factors of 52413

List of positive integer factors of 52413 that divides 52401 without a remainder.

1, 3, 17471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52401 and 52413. The biggest common factor number is the GCF number.
So the greatest common factor 52401 and 52413 is 3.

Also check out the Least Common Multiple of 52401 and 52413