What is the Greatest Common Factor of 52413 and 52428?

Greatest common factor (GCF) of 52413 and 52428 is 3.

GCF(52413,52428) = 3

We will now calculate the prime factors of 52413 and 52428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52413 and 52428.

How to find the GCF of 52413 and 52428?

We will first find the prime factorization of 52413 and 52428. After we will calculate the factors of 52413 and 52428 and find the biggest common factor number .

Step-1: Prime Factorization of 52413

Prime factors of 52413 are 3, 17471. Prime factorization of 52413 in exponential form is:

52413 = 3¹ × 17471¹

Step-2: Prime Factorization of 52428

Prime factors of 52428 are 2, 3, 17, 257. Prime factorization of 52428 in exponential form is:

52428 = 2² × 3¹ × 17¹ × 257¹

Step-3: Factors of 52413

List of positive integer factors of 52413 that divides 52413 without a remainder.

1, 3, 17471

Step-4: Factors of 52428

List of positive integer factors of 52428 that divides 52413 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 257, 514, 771, 1028, 1542, 3084, 4369, 8738, 13107, 17476, 26214

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52413 and 52428. The biggest common factor number is the GCF number.
So the greatest common factor 52413 and 52428 is 3.

Also check out the Least Common Multiple of 52413 and 52428