What is the Greatest Common Factor of 52409 and 52414?

Greatest common factor (GCF) of 52409 and 52414 is 1.

GCF(52409,52414) = 1

We will now calculate the prime factors of 52409 and 52414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52409 and 52414.

How to find the GCF of 52409 and 52414?

We will first find the prime factorization of 52409 and 52414. After we will calculate the factors of 52409 and 52414 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 52414

Prime factors of 52414 are 2, 73, 359. Prime factorization of 52414 in exponential form is:

52414 = 2¹ × 73¹ × 359¹

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 52414

List of positive integer factors of 52414 that divides 52409 without a remainder.

1, 2, 73, 146, 359, 718, 26207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52409 and 52414. The biggest common factor number is the GCF number.
So the greatest common factor 52409 and 52414 is 1.

Also check out the Least Common Multiple of 52409 and 52414