What is the Greatest Common Factor of 52437 and 52448?

Greatest common factor (GCF) of 52437 and 52448 is 11.

GCF(52437,52448) = 11

We will now calculate the prime factors of 52437 and 52448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52437 and 52448.

How to find the GCF of 52437 and 52448?

We will first find the prime factorization of 52437 and 52448. After we will calculate the factors of 52437 and 52448 and find the biggest common factor number .

Step-1: Prime Factorization of 52437

Prime factors of 52437 are 3, 7, 11, 227. Prime factorization of 52437 in exponential form is:

52437 = 3¹ × 7¹ × 11¹ × 227¹

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 52437

List of positive integer factors of 52437 that divides 52437 without a remainder.

1, 3, 7, 11, 21, 33, 77, 227, 231, 681, 1589, 2497, 4767, 7491, 17479

Step-4: Factors of 52448

List of positive integer factors of 52448 that divides 52437 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 52437 and 52448. The biggest common factor number is the GCF number.
So the greatest common factor 52437 and 52448 is 11.

Also check out the Least Common Multiple of 52437 and 52448