What is the Greatest Common Factor of 33252 and 33269?

Greatest common factor (GCF) of 33252 and 33269 is 17.

GCF(33252,33269) = 17

We will now calculate the prime factors of 33252 and 33269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33252 and 33269.

How to find the GCF of 33252 and 33269?

We will first find the prime factorization of 33252 and 33269. After we will calculate the factors of 33252 and 33269 and find the biggest common factor number .

Step-1: Prime Factorization of 33252

Prime factors of 33252 are 2, 3, 17, 163. Prime factorization of 33252 in exponential form is:

33252 = 2² × 3¹ × 17¹ × 163¹

Step-2: 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-3: Factors of 33252

List of positive integer factors of 33252 that divides 33252 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 163, 204, 326, 489, 652, 978, 1956, 2771, 5542, 8313, 11084, 16626

Step-4: Factors of 33269

List of positive integer factors of 33269 that divides 33252 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33252 and 33269. The biggest common factor number is the GCF number.
So the greatest common factor 33252 and 33269 is 17.

Also check out the Least Common Multiple of 33252 and 33269