What is the Greatest Common Factor of 73326 and 73337?

Greatest common factor (GCF) of 73326 and 73337 is 11.

GCF(73326,73337) = 11

We will now calculate the prime factors of 73326 and 73337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73326 and 73337.

How to find the GCF of 73326 and 73337?

We will first find the prime factorization of 73326 and 73337. After we will calculate the factors of 73326 and 73337 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 73337

Prime factors of 73337 are 11, 59, 113. Prime factorization of 73337 in exponential form is:

73337 = 11¹ × 59¹ × 113¹

Step-3: Factors of 73326

List of positive integer factors of 73326 that divides 73326 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

Step-4: Factors of 73337

List of positive integer factors of 73337 that divides 73326 without a remainder.

1, 11, 59, 113, 649, 1243, 6667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73326 and 73337. The biggest common factor number is the GCF number.
So the greatest common factor 73326 and 73337 is 11.

Also check out the Least Common Multiple of 73326 and 73337