What is the Greatest Common Factor of 83310 and 83326?

Greatest common factor (GCF) of 83310 and 83326 is 2.

GCF(83310,83326) = 2

We will now calculate the prime factors of 83310 and 83326, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83310 and 83326.

How to find the GCF of 83310 and 83326?

We will first find the prime factorization of 83310 and 83326. After we will calculate the factors of 83310 and 83326 and find the biggest common factor number .

Step-1: Prime Factorization of 83310

Prime factors of 83310 are 2, 3, 5, 2777. Prime factorization of 83310 in exponential form is:

83310 = 2¹ × 3¹ × 5¹ × 2777¹

Step-2: Prime Factorization of 83326

Prime factors of 83326 are 2, 61, 683. Prime factorization of 83326 in exponential form is:

83326 = 2¹ × 61¹ × 683¹

Step-3: Factors of 83310

List of positive integer factors of 83310 that divides 83310 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2777, 5554, 8331, 13885, 16662, 27770, 41655

Step-4: Factors of 83326

List of positive integer factors of 83326 that divides 83310 without a remainder.

1, 2, 61, 122, 683, 1366, 41663

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83310 and 83326. The biggest common factor number is the GCF number.
So the greatest common factor 83310 and 83326 is 2.

Also check out the Least Common Multiple of 83310 and 83326