What is the Greatest Common Factor of 28191 and 28197?

Greatest common factor (GCF) of 28191 and 28197 is 3.

GCF(28191,28197) = 3

We will now calculate the prime factors of 28191 and 28197, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28191 and 28197.

How to find the GCF of 28191 and 28197?

We will first find the prime factorization of 28191 and 28197. After we will calculate the factors of 28191 and 28197 and find the biggest common factor number .

Step-1: Prime Factorization of 28191

Prime factors of 28191 are 3, 9397. Prime factorization of 28191 in exponential form is:

28191 = 3¹ × 9397¹

Step-2: Prime Factorization of 28197

Prime factors of 28197 are 3, 13, 241. Prime factorization of 28197 in exponential form is:

28197 = 3² × 13¹ × 241¹

Step-3: Factors of 28191

List of positive integer factors of 28191 that divides 28191 without a remainder.

1, 3, 9397

Step-4: Factors of 28197

List of positive integer factors of 28197 that divides 28191 without a remainder.

1, 3, 9, 13, 39, 117, 241, 723, 2169, 3133, 9399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28191 and 28197. The biggest common factor number is the GCF number.
So the greatest common factor 28191 and 28197 is 3.

Also check out the Least Common Multiple of 28191 and 28197