What is the Greatest Common Factor of 59327 and 59338?

Greatest common factor (GCF) of 59327 and 59338 is 1.

GCF(59327,59338) = 1

We will now calculate the prime factors of 59327 and 59338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59327 and 59338.

How to find the GCF of 59327 and 59338?

We will first find the prime factorization of 59327 and 59338. After we will calculate the factors of 59327 and 59338 and find the biggest common factor number .

Step-1: Prime Factorization of 59327

Prime factors of 59327 are 41, 1447. Prime factorization of 59327 in exponential form is:

59327 = 41¹ × 1447¹

Step-2: Prime Factorization of 59338

Prime factors of 59338 are 2, 29669. Prime factorization of 59338 in exponential form is:

59338 = 2¹ × 29669¹

Step-3: Factors of 59327

List of positive integer factors of 59327 that divides 59327 without a remainder.

1, 41, 1447

Step-4: Factors of 59338

List of positive integer factors of 59338 that divides 59327 without a remainder.

1, 2, 29669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59327 and 59338. The biggest common factor number is the GCF number.
So the greatest common factor 59327 and 59338 is 1.

Also check out the Least Common Multiple of 59327 and 59338