What is the Greatest Common Factor of 33306 and 33320?

Greatest common factor (GCF) of 33306 and 33320 is 14.

GCF(33306,33320) = 14

We will now calculate the prime factors of 33306 and 33320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33306 and 33320.

How to find the GCF of 33306 and 33320?

We will first find the prime factorization of 33306 and 33320. After we will calculate the factors of 33306 and 33320 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 33320

Prime factors of 33320 are 2, 5, 7, 17. Prime factorization of 33320 in exponential form is:

33320 = 2³ × 5¹ × 7² × 17¹

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 33320

List of positive integer factors of 33320 that divides 33306 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 17, 20, 28, 34, 35, 40, 49, 56, 68, 70, 85, 98, 119, 136, 140, 170, 196, 238, 245, 280, 340, 392, 476, 490, 595, 680, 833, 952, 980, 1190, 1666, 1960, 2380, 3332, 4165, 4760, 6664, 8330, 16660

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33306 and 33320. The biggest common factor number is the GCF number.
So the greatest common factor 33306 and 33320 is 14.

Also check out the Least Common Multiple of 33306 and 33320