What is the Greatest Common Factor of 52382 and 52389?

Greatest common factor (GCF) of 52382 and 52389 is 1.

GCF(52382,52389) = 1

We will now calculate the prime factors of 52382 and 52389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52382 and 52389.

How to find the GCF of 52382 and 52389?

We will first find the prime factorization of 52382 and 52389. After we will calculate the factors of 52382 and 52389 and find the biggest common factor number .

Step-1: Prime Factorization of 52382

Prime factors of 52382 are 2, 11, 2381. Prime factorization of 52382 in exponential form is:

52382 = 2¹ × 11¹ × 2381¹

Step-2: Prime Factorization of 52389

Prime factors of 52389 are 3, 5821. Prime factorization of 52389 in exponential form is:

52389 = 3² × 5821¹

Step-3: Factors of 52382

List of positive integer factors of 52382 that divides 52382 without a remainder.

1, 2, 11, 22, 2381, 4762, 26191

Step-4: Factors of 52389

List of positive integer factors of 52389 that divides 52382 without a remainder.

1, 3, 9, 5821, 17463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52382 and 52389. The biggest common factor number is the GCF number.
So the greatest common factor 52382 and 52389 is 1.

Also check out the Least Common Multiple of 52382 and 52389