What is the Greatest Common Factor of 23439 and 23452?

Greatest common factor (GCF) of 23439 and 23452 is 13.

GCF(23439,23452) = 13

We will now calculate the prime factors of 23439 and 23452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23439 and 23452.

How to find the GCF of 23439 and 23452?

We will first find the prime factorization of 23439 and 23452. After we will calculate the factors of 23439 and 23452 and find the biggest common factor number .

Step-1: Prime Factorization of 23439

Prime factors of 23439 are 3, 13, 601. Prime factorization of 23439 in exponential form is:

23439 = 3¹ × 13¹ × 601¹

Step-2: Prime Factorization of 23452

Prime factors of 23452 are 2, 11, 13, 41. Prime factorization of 23452 in exponential form is:

23452 = 2² × 11¹ × 13¹ × 41¹

Step-3: Factors of 23439

List of positive integer factors of 23439 that divides 23439 without a remainder.

1, 3, 13, 39, 601, 1803, 7813

Step-4: Factors of 23452

List of positive integer factors of 23452 that divides 23439 without a remainder.

1, 2, 4, 11, 13, 22, 26, 41, 44, 52, 82, 143, 164, 286, 451, 533, 572, 902, 1066, 1804, 2132, 5863, 11726

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23439 and 23452. The biggest common factor number is the GCF number.
So the greatest common factor 23439 and 23452 is 13.

Also check out the Least Common Multiple of 23439 and 23452