What is the Greatest Common Factor of 33338 and 33357?

Greatest common factor (GCF) of 33338 and 33357 is 1.

GCF(33338,33357) = 1

We will now calculate the prime factors of 33338 and 33357, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33338 and 33357.

How to find the GCF of 33338 and 33357?

We will first find the prime factorization of 33338 and 33357. After we will calculate the factors of 33338 and 33357 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33357

Prime factors of 33357 are 3, 11119. Prime factorization of 33357 in exponential form is:

33357 = 3¹ × 11119¹

Step-3: Factors of 33338

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

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

Step-4: Factors of 33357

List of positive integer factors of 33357 that divides 33338 without a remainder.

1, 3, 11119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33338 and 33357. The biggest common factor number is the GCF number.
So the greatest common factor 33338 and 33357 is 1.

Also check out the Least Common Multiple of 33338 and 33357