What is the Greatest Common Factor of 58197 and 58203?

Greatest common factor (GCF) of 58197 and 58203 is 3.

GCF(58197,58203) = 3

We will now calculate the prime factors of 58197 and 58203, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58197 and 58203.

How to find the GCF of 58197 and 58203?

We will first find the prime factorization of 58197 and 58203. After we will calculate the factors of 58197 and 58203 and find the biggest common factor number .

Step-1: Prime Factorization of 58197

Prime factors of 58197 are 3, 19, 1021. Prime factorization of 58197 in exponential form is:

58197 = 3¹ × 19¹ × 1021¹

Step-2: Prime Factorization of 58203

Prime factors of 58203 are 3, 29, 223. Prime factorization of 58203 in exponential form is:

58203 = 3² × 29¹ × 223¹

Step-3: Factors of 58197

List of positive integer factors of 58197 that divides 58197 without a remainder.

1, 3, 19, 57, 1021, 3063, 19399

Step-4: Factors of 58203

List of positive integer factors of 58203 that divides 58197 without a remainder.

1, 3, 9, 29, 87, 223, 261, 669, 2007, 6467, 19401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58197 and 58203. The biggest common factor number is the GCF number.
So the greatest common factor 58197 and 58203 is 3.

Also check out the Least Common Multiple of 58197 and 58203