What is the Greatest Common Factor of 43186 and 43199?

Greatest common factor (GCF) of 43186 and 43199 is 13.

GCF(43186,43199) = 13

We will now calculate the prime factors of 43186 and 43199, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43186 and 43199.

How to find the GCF of 43186 and 43199?

We will first find the prime factorization of 43186 and 43199. After we will calculate the factors of 43186 and 43199 and find the biggest common factor number .

Step-1: Prime Factorization of 43186

Prime factors of 43186 are 2, 11, 13, 151. Prime factorization of 43186 in exponential form is:

43186 = 2¹ × 11¹ × 13¹ × 151¹

Step-2: Prime Factorization of 43199

Prime factors of 43199 are 13, 3323. Prime factorization of 43199 in exponential form is:

43199 = 13¹ × 3323¹

Step-3: Factors of 43186

List of positive integer factors of 43186 that divides 43186 without a remainder.

1, 2, 11, 13, 22, 26, 143, 151, 286, 302, 1661, 1963, 3322, 3926, 21593

Step-4: Factors of 43199

List of positive integer factors of 43199 that divides 43186 without a remainder.

1, 13, 3323

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43186 and 43199. The biggest common factor number is the GCF number.
So the greatest common factor 43186 and 43199 is 13.

Also check out the Least Common Multiple of 43186 and 43199