What is the Greatest Common Factor of 59409 and 59429?

Greatest common factor (GCF) of 59409 and 59429 is 1.

GCF(59409,59429) = 1

We will now calculate the prime factors of 59409 and 59429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59409 and 59429.

How to find the GCF of 59409 and 59429?

We will first find the prime factorization of 59409 and 59429. After we will calculate the factors of 59409 and 59429 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 59429

Prime factors of 59429 are 67, 887. Prime factorization of 59429 in exponential form is:

59429 = 67¹ × 887¹

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 59429

List of positive integer factors of 59429 that divides 59409 without a remainder.

1, 67, 887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59409 and 59429. The biggest common factor number is the GCF number.
So the greatest common factor 59409 and 59429 is 1.

Also check out the Least Common Multiple of 59409 and 59429