What is the Greatest Common Factor of 52409 and 52423?

Greatest common factor (GCF) of 52409 and 52423 is 7.

GCF(52409,52423) = 7

We will now calculate the prime factors of 52409 and 52423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52409 and 52423.

How to find the GCF of 52409 and 52423?

We will first find the prime factorization of 52409 and 52423. After we will calculate the factors of 52409 and 52423 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 52423

Prime factors of 52423 are 7, 7489. Prime factorization of 52423 in exponential form is:

52423 = 7¹ × 7489¹

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 52423

List of positive integer factors of 52423 that divides 52409 without a remainder.

1, 7, 7489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52409 and 52423. The biggest common factor number is the GCF number.
So the greatest common factor 52409 and 52423 is 7.

Also check out the Least Common Multiple of 52409 and 52423