What is the Greatest Common Factor of 33229 and 33238?

Greatest common factor (GCF) of 33229 and 33238 is 1.

GCF(33229,33238) = 1

We will now calculate the prime factors of 33229 and 33238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33229 and 33238.

How to find the GCF of 33229 and 33238?

We will first find the prime factorization of 33229 and 33238. After we will calculate the factors of 33229 and 33238 and find the biggest common factor number .

Step-1: Prime Factorization of 33229

Prime factors of 33229 are 7, 47, 101. Prime factorization of 33229 in exponential form is:

33229 = 7¹ × 47¹ × 101¹

Step-2: Prime Factorization of 33238

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

33238 = 2¹ × 16619¹

Step-3: Factors of 33229

List of positive integer factors of 33229 that divides 33229 without a remainder.

1, 7, 47, 101, 329, 707, 4747

Step-4: Factors of 33238

List of positive integer factors of 33238 that divides 33229 without a remainder.

1, 2, 16619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33229 and 33238. The biggest common factor number is the GCF number.
So the greatest common factor 33229 and 33238 is 1.

Also check out the Least Common Multiple of 33229 and 33238