What is the Greatest Common Factor of 59323 and 59329?

Greatest common factor (GCF) of 59323 and 59329 is 1.

GCF(59323,59329) = 1

We will now calculate the prime factors of 59323 and 59329, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59323 and 59329.

How to find the GCF of 59323 and 59329?

We will first find the prime factorization of 59323 and 59329. After we will calculate the factors of 59323 and 59329 and find the biggest common factor number .

Step-1: Prime Factorization of 59323

Prime factors of 59323 are 11, 5393. Prime factorization of 59323 in exponential form is:

59323 = 11¹ × 5393¹

Step-2: Prime Factorization of 59329

Prime factors of 59329 are 79, 751. Prime factorization of 59329 in exponential form is:

59329 = 79¹ × 751¹

Step-3: Factors of 59323

List of positive integer factors of 59323 that divides 59323 without a remainder.

1, 11, 5393

Step-4: Factors of 59329

List of positive integer factors of 59329 that divides 59323 without a remainder.

1, 79, 751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59323 and 59329. The biggest common factor number is the GCF number.
So the greatest common factor 59323 and 59329 is 1.

Also check out the Least Common Multiple of 59323 and 59329