What is the Greatest Common Factor of 59392 and 59409?

Greatest common factor (GCF) of 59392 and 59409 is 1.

GCF(59392,59409) = 1

We will now calculate the prime factors of 59392 and 59409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59392 and 59409.

How to find the GCF of 59392 and 59409?

We will first find the prime factorization of 59392 and 59409. After we will calculate the factors of 59392 and 59409 and find the biggest common factor number .

Step-1: Prime Factorization of 59392

Prime factors of 59392 are 2, 29. Prime factorization of 59392 in exponential form is:

59392 = 2¹¹ × 29¹

Step-2: 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-3: Factors of 59392

List of positive integer factors of 59392 that divides 59392 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 256, 464, 512, 928, 1024, 1856, 2048, 3712, 7424, 14848, 29696

Step-4: Factors of 59409

List of positive integer factors of 59409 that divides 59392 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59392 and 59409. The biggest common factor number is the GCF number.
So the greatest common factor 59392 and 59409 is 1.

Also check out the Least Common Multiple of 59392 and 59409