What is the Greatest Common Factor of 33123 and 33139?

Greatest common factor (GCF) of 33123 and 33139 is 1.

GCF(33123,33139) = 1

We will now calculate the prime factors of 33123 and 33139, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33123 and 33139.

How to find the GCF of 33123 and 33139?

We will first find the prime factorization of 33123 and 33139. After we will calculate the factors of 33123 and 33139 and find the biggest common factor number .

Step-1: Prime Factorization of 33123

Prime factors of 33123 are 3, 61, 181. Prime factorization of 33123 in exponential form is:

33123 = 3¹ × 61¹ × 181¹

Step-2: Prime Factorization of 33139

Prime factors of 33139 are 31, 1069. Prime factorization of 33139 in exponential form is:

33139 = 31¹ × 1069¹

Step-3: Factors of 33123

List of positive integer factors of 33123 that divides 33123 without a remainder.

1, 3, 61, 181, 183, 543, 11041

Step-4: Factors of 33139

List of positive integer factors of 33139 that divides 33123 without a remainder.

1, 31, 1069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33123 and 33139. The biggest common factor number is the GCF number.
So the greatest common factor 33123 and 33139 is 1.

Also check out the Least Common Multiple of 33123 and 33139