What is the Greatest Common Factor of 33238 and 33253?

Greatest common factor (GCF) of 33238 and 33253 is 1.

GCF(33238,33253) = 1

We will now calculate the prime factors of 33238 and 33253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33238 and 33253.

How to find the GCF of 33238 and 33253?

We will first find the prime factorization of 33238 and 33253. After we will calculate the factors of 33238 and 33253 and find the biggest common factor number .

Step-1: Prime Factorization of 33238

Prime factors of 33238 are 2, 16619. Prime factorization of 33238 in exponential form is:

33238 = 2¹ × 16619¹

Step-2: Prime Factorization of 33253

Prime factors of 33253 are 11, 3023. Prime factorization of 33253 in exponential form is:

33253 = 11¹ × 3023¹

Step-3: Factors of 33238

List of positive integer factors of 33238 that divides 33238 without a remainder.

1, 2, 16619

Step-4: Factors of 33253

List of positive integer factors of 33253 that divides 33238 without a remainder.

1, 11, 3023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33238 and 33253. The biggest common factor number is the GCF number.
So the greatest common factor 33238 and 33253 is 1.

Also check out the Least Common Multiple of 33238 and 33253