What is the Greatest Common Factor of 33306 and 33313?

Greatest common factor (GCF) of 33306 and 33313 is 7.

GCF(33306,33313) = 7

We will now calculate the prime factors of 33306 and 33313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33306 and 33313.

How to find the GCF of 33306 and 33313?

We will first find the prime factorization of 33306 and 33313. After we will calculate the factors of 33306 and 33313 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33313

Prime factors of 33313 are 7, 4759. Prime factorization of 33313 in exponential form is:

33313 = 7¹ × 4759¹

Step-3: Factors of 33306

List of positive integer factors of 33306 that divides 33306 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

Step-4: Factors of 33313

List of positive integer factors of 33313 that divides 33306 without a remainder.

1, 7, 4759

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33306 and 33313. The biggest common factor number is the GCF number.
So the greatest common factor 33306 and 33313 is 7.

Also check out the Least Common Multiple of 33306 and 33313