What is the Greatest Common Factor of 33254 and 33262?

Greatest common factor (GCF) of 33254 and 33262 is 2.

GCF(33254,33262) = 2

We will now calculate the prime factors of 33254 and 33262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33254 and 33262.

How to find the GCF of 33254 and 33262?

We will first find the prime factorization of 33254 and 33262. After we will calculate the factors of 33254 and 33262 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 33262

Prime factors of 33262 are 2, 16631. Prime factorization of 33262 in exponential form is:

33262 = 2¹ × 16631¹

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 33262

List of positive integer factors of 33262 that divides 33254 without a remainder.

1, 2, 16631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33254 and 33262. The biggest common factor number is the GCF number.
So the greatest common factor 33254 and 33262 is 2.

Also check out the Least Common Multiple of 33254 and 33262