What is the Greatest Common Factor of 33258 and 33268?

Greatest common factor (GCF) of 33258 and 33268 is 2.

GCF(33258,33268) = 2

We will now calculate the prime factors of 33258 and 33268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33258 and 33268.

How to find the GCF of 33258 and 33268?

We will first find the prime factorization of 33258 and 33268. After we will calculate the factors of 33258 and 33268 and find the biggest common factor number .

Step-1: Prime Factorization of 33258

Prime factors of 33258 are 2, 3, 23, 241. Prime factorization of 33258 in exponential form is:

33258 = 2¹ × 3¹ × 23¹ × 241¹

Step-2: Prime Factorization of 33268

Prime factors of 33268 are 2, 8317. Prime factorization of 33268 in exponential form is:

33268 = 2² × 8317¹

Step-3: Factors of 33258

List of positive integer factors of 33258 that divides 33258 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 241, 482, 723, 1446, 5543, 11086, 16629

Step-4: Factors of 33268

List of positive integer factors of 33268 that divides 33258 without a remainder.

1, 2, 4, 8317, 16634

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33258 and 33268. The biggest common factor number is the GCF number.
So the greatest common factor 33258 and 33268 is 2.

Also check out the Least Common Multiple of 33258 and 33268