What is the Greatest Common Factor of 33238 and 33242?

Greatest common factor (GCF) of 33238 and 33242 is 2.

GCF(33238,33242) = 2

We will now calculate the prime factors of 33238 and 33242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33238 and 33242.

How to find the GCF of 33238 and 33242?

We will first find the prime factorization of 33238 and 33242. After we will calculate the factors of 33238 and 33242 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 33242

Prime factors of 33242 are 2, 11, 1511. Prime factorization of 33242 in exponential form is:

33242 = 2¹ × 11¹ × 1511¹

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 33242

List of positive integer factors of 33242 that divides 33238 without a remainder.

1, 2, 11, 22, 1511, 3022, 16621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33238 and 33242. The biggest common factor number is the GCF number.
So the greatest common factor 33238 and 33242 is 2.

Also check out the Least Common Multiple of 33238 and 33242