What is the Greatest Common Factor of 58339 and 58356?

Greatest common factor (GCF) of 58339 and 58356 is 1.

GCF(58339,58356) = 1

We will now calculate the prime factors of 58339 and 58356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58339 and 58356.

How to find the GCF of 58339 and 58356?

We will first find the prime factorization of 58339 and 58356. After we will calculate the factors of 58339 and 58356 and find the biggest common factor number .

Step-1: Prime Factorization of 58339

Prime factors of 58339 are 227, 257. Prime factorization of 58339 in exponential form is:

58339 = 227¹ × 257¹

Step-2: Prime Factorization of 58356

Prime factors of 58356 are 2, 3, 1621. Prime factorization of 58356 in exponential form is:

58356 = 2² × 3² × 1621¹

Step-3: Factors of 58339

List of positive integer factors of 58339 that divides 58339 without a remainder.

1, 227, 257

Step-4: Factors of 58356

List of positive integer factors of 58356 that divides 58339 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1621, 3242, 4863, 6484, 9726, 14589, 19452, 29178

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58339 and 58356. The biggest common factor number is the GCF number.
So the greatest common factor 58339 and 58356 is 1.

Also check out the Least Common Multiple of 58339 and 58356