What is the Greatest Common Factor of 33269 and 33286?

Greatest common factor (GCF) of 33269 and 33286 is 17.

GCF(33269,33286) = 17

We will now calculate the prime factors of 33269 and 33286, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33269 and 33286.

How to find the GCF of 33269 and 33286?

We will first find the prime factorization of 33269 and 33286. After we will calculate the factors of 33269 and 33286 and find the biggest common factor number .

Step-1: Prime Factorization of 33269

Prime factors of 33269 are 17, 19, 103. Prime factorization of 33269 in exponential form is:

33269 = 17¹ × 19¹ × 103¹

Step-2: Prime Factorization of 33286

Prime factors of 33286 are 2, 11, 17, 89. Prime factorization of 33286 in exponential form is:

33286 = 2¹ × 11¹ × 17¹ × 89¹

Step-3: Factors of 33269

List of positive integer factors of 33269 that divides 33269 without a remainder.

1, 17, 19, 103, 323, 1751, 1957

Step-4: Factors of 33286

List of positive integer factors of 33286 that divides 33269 without a remainder.

1, 2, 11, 17, 22, 34, 89, 178, 187, 374, 979, 1513, 1958, 3026, 16643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33269 and 33286. The biggest common factor number is the GCF number.
So the greatest common factor 33269 and 33286 is 17.

Also check out the Least Common Multiple of 33269 and 33286