What is the Greatest Common Factor of 73315 and 73326?

Greatest common factor (GCF) of 73315 and 73326 is 11.

GCF(73315,73326) = 11

We will now calculate the prime factors of 73315 and 73326, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73315 and 73326.

How to find the GCF of 73315 and 73326?

We will first find the prime factorization of 73315 and 73326. After we will calculate the factors of 73315 and 73326 and find the biggest common factor number .

Step-1: Prime Factorization of 73315

Prime factors of 73315 are 5, 11, 31, 43. Prime factorization of 73315 in exponential form is:

73315 = 5¹ × 11¹ × 31¹ × 43¹

Step-2: Prime Factorization of 73326

Prime factors of 73326 are 2, 3, 11, 101. Prime factorization of 73326 in exponential form is:

73326 = 2¹ × 3¹ × 11² × 101¹

Step-3: Factors of 73315

List of positive integer factors of 73315 that divides 73315 without a remainder.

1, 5, 11, 31, 43, 55, 155, 215, 341, 473, 1333, 1705, 2365, 6665, 14663

Step-4: Factors of 73326

List of positive integer factors of 73326 that divides 73315 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 101, 121, 202, 242, 303, 363, 606, 726, 1111, 2222, 3333, 6666, 12221, 24442, 36663

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73315 and 73326. The biggest common factor number is the GCF number.
So the greatest common factor 73315 and 73326 is 11.

Also check out the Least Common Multiple of 73315 and 73326