What is the Greatest Common Factor of 59321 and 59330?

Greatest common factor (GCF) of 59321 and 59330 is 1.

GCF(59321,59330) = 1

We will now calculate the prime factors of 59321 and 59330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59321 and 59330.

How to find the GCF of 59321 and 59330?

We will first find the prime factorization of 59321 and 59330. After we will calculate the factors of 59321 and 59330 and find the biggest common factor number .

Step-1: Prime Factorization of 59321

Prime factors of 59321 are 137, 433. Prime factorization of 59321 in exponential form is:

59321 = 137¹ × 433¹

Step-2: Prime Factorization of 59330

Prime factors of 59330 are 2, 5, 17, 349. Prime factorization of 59330 in exponential form is:

59330 = 2¹ × 5¹ × 17¹ × 349¹

Step-3: Factors of 59321

List of positive integer factors of 59321 that divides 59321 without a remainder.

1, 137, 433

Step-4: Factors of 59330

List of positive integer factors of 59330 that divides 59321 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 349, 698, 1745, 3490, 5933, 11866, 29665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59321 and 59330. The biggest common factor number is the GCF number.
So the greatest common factor 59321 and 59330 is 1.

Also check out the Least Common Multiple of 59321 and 59330