What is the Greatest Common Factor of 58197 and 58201?

Greatest common factor (GCF) of 58197 and 58201 is 1.

GCF(58197,58201) = 1

We will now calculate the prime factors of 58197 and 58201, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58197 and 58201.

How to find the GCF of 58197 and 58201?

We will first find the prime factorization of 58197 and 58201. After we will calculate the factors of 58197 and 58201 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 58201

Prime factors of 58201 are 11, 13, 37. Prime factorization of 58201 in exponential form is:

58201 = 11² × 13¹ × 37¹

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 58201

List of positive integer factors of 58201 that divides 58197 without a remainder.

1, 11, 13, 37, 121, 143, 407, 481, 1573, 4477, 5291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58197 and 58201. The biggest common factor number is the GCF number.
So the greatest common factor 58197 and 58201 is 1.

Also check out the Least Common Multiple of 58197 and 58201