What is the Greatest Common Factor of 59409 and 59427?

Greatest common factor (GCF) of 59409 and 59427 is 9.

GCF(59409,59427) = 9

We will now calculate the prime factors of 59409 and 59427, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59409 and 59427.

How to find the GCF of 59409 and 59427?

We will first find the prime factorization of 59409 and 59427. After we will calculate the factors of 59409 and 59427 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 59427

Prime factors of 59427 are 3, 31, 71. Prime factorization of 59427 in exponential form is:

59427 = 3³ × 31¹ × 71¹

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 59427

List of positive integer factors of 59427 that divides 59409 without a remainder.

1, 3, 9, 27, 31, 71, 93, 213, 279, 639, 837, 1917, 2201, 6603, 19809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59409 and 59427. The biggest common factor number is the GCF number.
So the greatest common factor 59409 and 59427 is 9.

Also check out the Least Common Multiple of 59409 and 59427