What is the Greatest Common Factor of 52439 and 52448?

Greatest common factor (GCF) of 52439 and 52448 is 1.

GCF(52439,52448) = 1

We will now calculate the prime factors of 52439 and 52448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52439 and 52448.

How to find the GCF of 52439 and 52448?

We will first find the prime factorization of 52439 and 52448. After we will calculate the factors of 52439 and 52448 and find the biggest common factor number .

Step-1: Prime Factorization of 52439

Prime factors of 52439 are 41, 1279. Prime factorization of 52439 in exponential form is:

52439 = 41¹ × 1279¹

Step-2: Prime Factorization of 52448

Prime factors of 52448 are 2, 11, 149. Prime factorization of 52448 in exponential form is:

52448 = 2⁵ × 11¹ × 149¹

Step-3: Factors of 52439

List of positive integer factors of 52439 that divides 52439 without a remainder.

1, 41, 1279

Step-4: Factors of 52448

List of positive integer factors of 52448 that divides 52439 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 149, 176, 298, 352, 596, 1192, 1639, 2384, 3278, 4768, 6556, 13112, 26224

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52439 and 52448. The biggest common factor number is the GCF number.
So the greatest common factor 52439 and 52448 is 1.

Also check out the Least Common Multiple of 52439 and 52448