What is the Greatest Common Factor of 52448 and 52457?

Greatest common factor (GCF) of 52448 and 52457 is 1.

GCF(52448,52457) = 1

We will now calculate the prime factors of 52448 and 52457, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52448 and 52457.

How to find the GCF of 52448 and 52457?

We will first find the prime factorization of 52448 and 52457. After we will calculate the factors of 52448 and 52457 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 52457

Prime factors of 52457 are 52457. Prime factorization of 52457 in exponential form is:

52457 = 52457¹

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 52457

List of positive integer factors of 52457 that divides 52448 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52448 and 52457. The biggest common factor number is the GCF number.
So the greatest common factor 52448 and 52457 is 1.

Also check out the Least Common Multiple of 52448 and 52457