What is the Greatest Common Factor of 59409 and 59418?

Greatest common factor (GCF) of 59409 and 59418 is 9.

GCF(59409,59418) = 9

We will now calculate the prime factors of 59409 and 59418, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59409 and 59418.

How to find the GCF of 59409 and 59418?

We will first find the prime factorization of 59409 and 59418. After we will calculate the factors of 59409 and 59418 and find the biggest common factor number .

Step-1: Prime Factorization of 59409

Prime factors of 59409 are 3, 7, 23, 41. Prime factorization of 59409 in exponential form is:

59409 = 3² × 7¹ × 23¹ × 41¹

Step-2: Prime Factorization of 59418

Prime factors of 59418 are 2, 3, 3301. Prime factorization of 59418 in exponential form is:

59418 = 2¹ × 3² × 3301¹

Step-3: Factors of 59409

List of positive integer factors of 59409 that divides 59409 without a remainder.

1, 3, 7, 9, 21, 23, 41, 63, 69, 123, 161, 207, 287, 369, 483, 861, 943, 1449, 2583, 2829, 6601, 8487, 19803

Step-4: Factors of 59418

List of positive integer factors of 59418 that divides 59409 without a remainder.

1, 2, 3, 6, 9, 18, 3301, 6602, 9903, 19806, 29709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59409 and 59418. The biggest common factor number is the GCF number.
So the greatest common factor 59409 and 59418 is 9.

Also check out the Least Common Multiple of 59409 and 59418