What is the Greatest Common Factor of 33235 and 33252?

Greatest common factor (GCF) of 33235 and 33252 is 17.

GCF(33235,33252) = 17

We will now calculate the prime factors of 33235 and 33252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33235 and 33252.

How to find the GCF of 33235 and 33252?

We will first find the prime factorization of 33235 and 33252. After we will calculate the factors of 33235 and 33252 and find the biggest common factor number .

Step-1: Prime Factorization of 33235

Prime factors of 33235 are 5, 17, 23. Prime factorization of 33235 in exponential form is:

33235 = 5¹ × 17² × 23¹

Step-2: 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-3: Factors of 33235

List of positive integer factors of 33235 that divides 33235 without a remainder.

1, 5, 17, 23, 85, 115, 289, 391, 1445, 1955, 6647

Step-4: Factors of 33252

List of positive integer factors of 33252 that divides 33235 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33235 and 33252. The biggest common factor number is the GCF number.
So the greatest common factor 33235 and 33252 is 17.

Also check out the Least Common Multiple of 33235 and 33252