What is the Greatest Common Factor of 52448 and 52464?

Greatest common factor (GCF) of 52448 and 52464 is 16.

GCF(52448,52464) = 16

We will now calculate the prime factors of 52448 and 52464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52448 and 52464.

How to find the GCF of 52448 and 52464?

We will first find the prime factorization of 52448 and 52464. After we will calculate the factors of 52448 and 52464 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 52464

Prime factors of 52464 are 2, 3, 1093. Prime factorization of 52464 in exponential form is:

52464 = 2⁴ × 3¹ × 1093¹

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 52464

List of positive integer factors of 52464 that divides 52448 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1093, 2186, 3279, 4372, 6558, 8744, 13116, 17488, 26232

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52448 and 52464. The biggest common factor number is the GCF number.
So the greatest common factor 52448 and 52464 is 16.

Also check out the Least Common Multiple of 52448 and 52464