What is the Greatest Common Factor of 33326 and 33338?

Greatest common factor (GCF) of 33326 and 33338 is 2.

GCF(33326,33338) = 2

We will now calculate the prime factors of 33326 and 33338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33326 and 33338.

How to find the GCF of 33326 and 33338?

We will first find the prime factorization of 33326 and 33338. After we will calculate the factors of 33326 and 33338 and find the biggest common factor number .

Step-1: Prime Factorization of 33326

Prime factors of 33326 are 2, 19, 877. Prime factorization of 33326 in exponential form is:

33326 = 2¹ × 19¹ × 877¹

Step-2: Prime Factorization of 33338

Prime factors of 33338 are 2, 79, 211. Prime factorization of 33338 in exponential form is:

33338 = 2¹ × 79¹ × 211¹

Step-3: Factors of 33326

List of positive integer factors of 33326 that divides 33326 without a remainder.

1, 2, 19, 38, 877, 1754, 16663

Step-4: Factors of 33338

List of positive integer factors of 33338 that divides 33326 without a remainder.

1, 2, 79, 158, 211, 422, 16669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33326 and 33338. The biggest common factor number is the GCF number.
So the greatest common factor 33326 and 33338 is 2.

Also check out the Least Common Multiple of 33326 and 33338