What is the Greatest Common Factor of 43191 and 43197?

Greatest common factor (GCF) of 43191 and 43197 is 3.

GCF(43191,43197) = 3

We will now calculate the prime factors of 43191 and 43197, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43191 and 43197.

How to find the GCF of 43191 and 43197?

We will first find the prime factorization of 43191 and 43197. After we will calculate the factors of 43191 and 43197 and find the biggest common factor number .

Step-1: Prime Factorization of 43191

Prime factors of 43191 are 3, 4799. Prime factorization of 43191 in exponential form is:

43191 = 3² × 4799¹

Step-2: Prime Factorization of 43197

Prime factors of 43197 are 3, 7, 11, 17. Prime factorization of 43197 in exponential form is:

43197 = 3¹ × 7¹ × 11² × 17¹

Step-3: Factors of 43191

List of positive integer factors of 43191 that divides 43191 without a remainder.

1, 3, 9, 4799, 14397

Step-4: Factors of 43197

List of positive integer factors of 43197 that divides 43191 without a remainder.

1, 3, 7, 11, 17, 21, 33, 51, 77, 119, 121, 187, 231, 357, 363, 561, 847, 1309, 2057, 2541, 3927, 6171, 14399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43191 and 43197. The biggest common factor number is the GCF number.
So the greatest common factor 43191 and 43197 is 3.

Also check out the Least Common Multiple of 43191 and 43197