What is the Greatest Common Factor of 43197 and 43208?

Greatest common factor (GCF) of 43197 and 43208 is 11.

GCF(43197,43208) = 11

We will now calculate the prime factors of 43197 and 43208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43197 and 43208.

How to find the GCF of 43197 and 43208?

We will first find the prime factorization of 43197 and 43208. After we will calculate the factors of 43197 and 43208 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43208

Prime factors of 43208 are 2, 11, 491. Prime factorization of 43208 in exponential form is:

43208 = 2³ × 11¹ × 491¹

Step-3: Factors of 43197

List of positive integer factors of 43197 that divides 43197 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

Step-4: Factors of 43208

List of positive integer factors of 43208 that divides 43197 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 491, 982, 1964, 3928, 5401, 10802, 21604

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43197 and 43208. The biggest common factor number is the GCF number.
So the greatest common factor 43197 and 43208 is 11.

Also check out the Least Common Multiple of 43197 and 43208