What is the Greatest Common Factor of 52374 and 52389?

Greatest common factor (GCF) of 52374 and 52389 is 3.

GCF(52374,52389) = 3

We will now calculate the prime factors of 52374 and 52389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52374 and 52389.

How to find the GCF of 52374 and 52389?

We will first find the prime factorization of 52374 and 52389. After we will calculate the factors of 52374 and 52389 and find the biggest common factor number .

Step-1: Prime Factorization of 52374

Prime factors of 52374 are 2, 3, 7, 29, 43. Prime factorization of 52374 in exponential form is:

52374 = 2¹ × 3¹ × 7¹ × 29¹ × 43¹

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 52374

List of positive integer factors of 52374 that divides 52374 without a remainder.

1, 2, 3, 6, 7, 14, 21, 29, 42, 43, 58, 86, 87, 129, 174, 203, 258, 301, 406, 602, 609, 903, 1218, 1247, 1806, 2494, 3741, 7482, 8729, 17458, 26187

Step-4: Factors of 52389

List of positive integer factors of 52389 that divides 52374 without a remainder.

1, 3, 9, 5821, 17463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52374 and 52389. The biggest common factor number is the GCF number.
So the greatest common factor 52374 and 52389 is 3.

Also check out the Least Common Multiple of 52374 and 52389