What is the Greatest Common Factor of 52437 and 52449?

Greatest common factor (GCF) of 52437 and 52449 is 3.

GCF(52437,52449) = 3

We will now calculate the prime factors of 52437 and 52449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52437 and 52449.

How to find the GCF of 52437 and 52449?

We will first find the prime factorization of 52437 and 52449. After we will calculate the factors of 52437 and 52449 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 52449

Prime factors of 52449 are 3, 17483. Prime factorization of 52449 in exponential form is:

52449 = 3¹ × 17483¹

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 52449

List of positive integer factors of 52449 that divides 52437 without a remainder.

1, 3, 17483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52437 and 52449. The biggest common factor number is the GCF number.
So the greatest common factor 52437 and 52449 is 3.

Also check out the Least Common Multiple of 52437 and 52449