What is the Greatest Common Factor of 57291 and 57297?

Greatest common factor (GCF) of 57291 and 57297 is 3.

GCF(57291,57297) = 3

We will now calculate the prime factors of 57291 and 57297, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57291 and 57297.

How to find the GCF of 57291 and 57297?

We will first find the prime factorization of 57291 and 57297. After we will calculate the factors of 57291 and 57297 and find the biggest common factor number .

Step-1: Prime Factorization of 57291

Prime factors of 57291 are 3, 13, 113. Prime factorization of 57291 in exponential form is:

57291 = 3¹ × 13² × 113¹

Step-2: Prime Factorization of 57297

Prime factors of 57297 are 3, 71, 269. Prime factorization of 57297 in exponential form is:

57297 = 3¹ × 71¹ × 269¹

Step-3: Factors of 57291

List of positive integer factors of 57291 that divides 57291 without a remainder.

1, 3, 13, 39, 113, 169, 339, 507, 1469, 4407, 19097

Step-4: Factors of 57297

List of positive integer factors of 57297 that divides 57291 without a remainder.

1, 3, 71, 213, 269, 807, 19099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57291 and 57297. The biggest common factor number is the GCF number.
So the greatest common factor 57291 and 57297 is 3.

Also check out the Least Common Multiple of 57291 and 57297