What is the Greatest Common Factor of 52394 and 52409?

Greatest common factor (GCF) of 52394 and 52409 is 1.

GCF(52394,52409) = 1

We will now calculate the prime factors of 52394 and 52409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52394 and 52409.

How to find the GCF of 52394 and 52409?

We will first find the prime factorization of 52394 and 52409. After we will calculate the factors of 52394 and 52409 and find the biggest common factor number .

Step-1: Prime Factorization of 52394

Prime factors of 52394 are 2, 17, 23, 67. Prime factorization of 52394 in exponential form is:

52394 = 2¹ × 17¹ × 23¹ × 67¹

Step-2: Prime Factorization of 52409

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

52409 = 7¹ × 7487¹

Step-3: Factors of 52394

List of positive integer factors of 52394 that divides 52394 without a remainder.

1, 2, 17, 23, 34, 46, 67, 134, 391, 782, 1139, 1541, 2278, 3082, 26197

Step-4: Factors of 52409

List of positive integer factors of 52409 that divides 52394 without a remainder.

1, 7, 7487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52394 and 52409. The biggest common factor number is the GCF number.
So the greatest common factor 52394 and 52409 is 1.

Also check out the Least Common Multiple of 52394 and 52409