What is the Greatest Common Factor of 43206 and 43211?

Greatest common factor (GCF) of 43206 and 43211 is 1.

GCF(43206,43211) = 1

We will now calculate the prime factors of 43206 and 43211, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43206 and 43211.

How to find the GCF of 43206 and 43211?

We will first find the prime factorization of 43206 and 43211. After we will calculate the factors of 43206 and 43211 and find the biggest common factor number .

Step-1: Prime Factorization of 43206

Prime factors of 43206 are 2, 3, 19, 379. Prime factorization of 43206 in exponential form is:

43206 = 2¹ × 3¹ × 19¹ × 379¹

Step-2: Prime Factorization of 43211

Prime factors of 43211 are 7, 6173. Prime factorization of 43211 in exponential form is:

43211 = 7¹ × 6173¹

Step-3: Factors of 43206

List of positive integer factors of 43206 that divides 43206 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 379, 758, 1137, 2274, 7201, 14402, 21603

Step-4: Factors of 43211

List of positive integer factors of 43211 that divides 43206 without a remainder.

1, 7, 6173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43206 and 43211. The biggest common factor number is the GCF number.
So the greatest common factor 43206 and 43211 is 1.

Also check out the Least Common Multiple of 43206 and 43211