What is the Greatest Common Factor of 33357 and 33366?

Greatest common factor (GCF) of 33357 and 33366 is 3.

GCF(33357,33366) = 3

We will now calculate the prime factors of 33357 and 33366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33357 and 33366.

How to find the GCF of 33357 and 33366?

We will first find the prime factorization of 33357 and 33366. After we will calculate the factors of 33357 and 33366 and find the biggest common factor number .

Step-1: Prime Factorization of 33357

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

33357 = 3¹ × 11119¹

Step-2: Prime Factorization of 33366

Prime factors of 33366 are 2, 3, 67, 83. Prime factorization of 33366 in exponential form is:

33366 = 2¹ × 3¹ × 67¹ × 83¹

Step-3: Factors of 33357

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

1, 3, 11119

Step-4: Factors of 33366

List of positive integer factors of 33366 that divides 33357 without a remainder.

1, 2, 3, 6, 67, 83, 134, 166, 201, 249, 402, 498, 5561, 11122, 16683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33357 and 33366. The biggest common factor number is the GCF number.
So the greatest common factor 33357 and 33366 is 3.

Also check out the Least Common Multiple of 33357 and 33366