What is the Greatest Common Factor of 52448 and 52466?

Greatest common factor (GCF) of 52448 and 52466 is 2.

GCF(52448,52466) = 2

We will now calculate the prime factors of 52448 and 52466, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52448 and 52466.

How to find the GCF of 52448 and 52466?

We will first find the prime factorization of 52448 and 52466. After we will calculate the factors of 52448 and 52466 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 52466

Prime factors of 52466 are 2, 37, 709. Prime factorization of 52466 in exponential form is:

52466 = 2¹ × 37¹ × 709¹

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 52466

List of positive integer factors of 52466 that divides 52448 without a remainder.

1, 2, 37, 74, 709, 1418, 26233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52448 and 52466. The biggest common factor number is the GCF number.
So the greatest common factor 52448 and 52466 is 2.

Also check out the Least Common Multiple of 52448 and 52466