What is the Greatest Common Factor of 84326 and 84337?

Greatest common factor (GCF) of 84326 and 84337 is 11.

GCF(84326,84337) = 11

We will now calculate the prime factors of 84326 and 84337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84326 and 84337.

How to find the GCF of 84326 and 84337?

We will first find the prime factorization of 84326 and 84337. After we will calculate the factors of 84326 and 84337 and find the biggest common factor number .

Step-1: Prime Factorization of 84326

Prime factors of 84326 are 2, 11, 3833. Prime factorization of 84326 in exponential form is:

84326 = 2¹ × 11¹ × 3833¹

Step-2: Prime Factorization of 84337

Prime factors of 84337 are 11, 17, 41. Prime factorization of 84337 in exponential form is:

84337 = 11² × 17¹ × 41¹

Step-3: Factors of 84326

List of positive integer factors of 84326 that divides 84326 without a remainder.

1, 2, 11, 22, 3833, 7666, 42163

Step-4: Factors of 84337

List of positive integer factors of 84337 that divides 84326 without a remainder.

1, 11, 17, 41, 121, 187, 451, 697, 2057, 4961, 7667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84326 and 84337. The biggest common factor number is the GCF number.
So the greatest common factor 84326 and 84337 is 11.

Also check out the Least Common Multiple of 84326 and 84337