What is the Greatest Common Factor of 52448 and 52453?

Greatest common factor (GCF) of 52448 and 52453 is 1.

GCF(52448,52453) = 1

We will now calculate the prime factors of 52448 and 52453, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52448 and 52453.

How to find the GCF of 52448 and 52453?

We will first find the prime factorization of 52448 and 52453. After we will calculate the factors of 52448 and 52453 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 52453

Prime factors of 52453 are 52453. Prime factorization of 52453 in exponential form is:

52453 = 52453¹

Step-3: Factors of 52448

List of positive integer factors of 52448 that divides 52448 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

Step-4: Factors of 52453

List of positive integer factors of 52453 that divides 52448 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52448 and 52453. The biggest common factor number is the GCF number.
So the greatest common factor 52448 and 52453 is 1.

Also check out the Least Common Multiple of 52448 and 52453