What is the Greatest Common Factor of 62397 and 62409?

Greatest common factor (GCF) of 62397 and 62409 is 3.

GCF(62397,62409) = 3

We will now calculate the prime factors of 62397 and 62409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62397 and 62409.

How to find the GCF of 62397 and 62409?

We will first find the prime factorization of 62397 and 62409. After we will calculate the factors of 62397 and 62409 and find the biggest common factor number .

Step-1: Prime Factorization of 62397

Prime factors of 62397 are 3, 2311. Prime factorization of 62397 in exponential form is:

62397 = 3³ × 2311¹

Step-2: Prime Factorization of 62409

Prime factors of 62409 are 3, 71, 293. Prime factorization of 62409 in exponential form is:

62409 = 3¹ × 71¹ × 293¹

Step-3: Factors of 62397

List of positive integer factors of 62397 that divides 62397 without a remainder.

1, 3, 9, 27, 2311, 6933, 20799

Step-4: Factors of 62409

List of positive integer factors of 62409 that divides 62397 without a remainder.

1, 3, 71, 213, 293, 879, 20803

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62397 and 62409. The biggest common factor number is the GCF number.
So the greatest common factor 62397 and 62409 is 3.

Also check out the Least Common Multiple of 62397 and 62409