What is the Greatest Common Factor of 33293 and 33306?

Greatest common factor (GCF) of 33293 and 33306 is 13.

GCF(33293,33306) = 13

We will now calculate the prime factors of 33293 and 33306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33293 and 33306.

How to find the GCF of 33293 and 33306?

We will first find the prime factorization of 33293 and 33306. After we will calculate the factors of 33293 and 33306 and find the biggest common factor number .

Step-1: Prime Factorization of 33293

Prime factors of 33293 are 13, 197. Prime factorization of 33293 in exponential form is:

33293 = 13² × 197¹

Step-2: Prime Factorization of 33306

Prime factors of 33306 are 2, 3, 7, 13, 61. Prime factorization of 33306 in exponential form is:

33306 = 2¹ × 3¹ × 7¹ × 13¹ × 61¹

Step-3: Factors of 33293

List of positive integer factors of 33293 that divides 33293 without a remainder.

1, 13, 169, 197, 2561

Step-4: Factors of 33306

List of positive integer factors of 33306 that divides 33293 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 61, 78, 91, 122, 182, 183, 273, 366, 427, 546, 793, 854, 1281, 1586, 2379, 2562, 4758, 5551, 11102, 16653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33293 and 33306. The biggest common factor number is the GCF number.
So the greatest common factor 33293 and 33306 is 13.

Also check out the Least Common Multiple of 33293 and 33306