What is the Greatest Common Factor of 33254 and 33272?

Greatest common factor (GCF) of 33254 and 33272 is 2.

GCF(33254,33272) = 2

We will now calculate the prime factors of 33254 and 33272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33254 and 33272.

How to find the GCF of 33254 and 33272?

We will first find the prime factorization of 33254 and 33272. After we will calculate the factors of 33254 and 33272 and find the biggest common factor number .

Step-1: Prime Factorization of 33254

Prime factors of 33254 are 2, 13, 1279. Prime factorization of 33254 in exponential form is:

33254 = 2¹ × 13¹ × 1279¹

Step-2: Prime Factorization of 33272

Prime factors of 33272 are 2, 4159. Prime factorization of 33272 in exponential form is:

33272 = 2³ × 4159¹

Step-3: Factors of 33254

List of positive integer factors of 33254 that divides 33254 without a remainder.

1, 2, 13, 26, 1279, 2558, 16627

Step-4: Factors of 33272

List of positive integer factors of 33272 that divides 33254 without a remainder.

1, 2, 4, 8, 4159, 8318, 16636

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33254 and 33272. The biggest common factor number is the GCF number.
So the greatest common factor 33254 and 33272 is 2.

Also check out the Least Common Multiple of 33254 and 33272