What is the Greatest Common Factor of 33306 and 33314?

Greatest common factor (GCF) of 33306 and 33314 is 2.

GCF(33306,33314) = 2

We will now calculate the prime factors of 33306 and 33314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33306 and 33314.

How to find the GCF of 33306 and 33314?

We will first find the prime factorization of 33306 and 33314. After we will calculate the factors of 33306 and 33314 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 33314

Prime factors of 33314 are 2, 16657. Prime factorization of 33314 in exponential form is:

33314 = 2¹ × 16657¹

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 33314

List of positive integer factors of 33314 that divides 33306 without a remainder.

1, 2, 16657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33306 and 33314. The biggest common factor number is the GCF number.
So the greatest common factor 33306 and 33314 is 2.

Also check out the Least Common Multiple of 33306 and 33314