What is the Greatest Common Factor of 52409 and 52428?

Greatest common factor (GCF) of 52409 and 52428 is 1.

GCF(52409,52428) = 1

We will now calculate the prime factors of 52409 and 52428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52409 and 52428.

How to find the GCF of 52409 and 52428?

We will first find the prime factorization of 52409 and 52428. After we will calculate the factors of 52409 and 52428 and find the biggest common factor number .

Step-1: Prime Factorization of 52409

Prime factors of 52409 are 7, 7487. Prime factorization of 52409 in exponential form is:

52409 = 7¹ × 7487¹

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 52409

List of positive integer factors of 52409 that divides 52409 without a remainder.

1, 7, 7487

Step-4: Factors of 52428

List of positive integer factors of 52428 that divides 52409 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 52409 and 52428. The biggest common factor number is the GCF number.
So the greatest common factor 52409 and 52428 is 1.

Also check out the Least Common Multiple of 52409 and 52428