What is the Greatest Common Factor of 33126 and 33139?

Greatest common factor (GCF) of 33126 and 33139 is 1.

GCF(33126,33139) = 1

We will now calculate the prime factors of 33126 and 33139, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33126 and 33139.

How to find the GCF of 33126 and 33139?

We will first find the prime factorization of 33126 and 33139. After we will calculate the factors of 33126 and 33139 and find the biggest common factor number .

Step-1: Prime Factorization of 33126

Prime factors of 33126 are 2, 3, 5521. Prime factorization of 33126 in exponential form is:

33126 = 2¹ × 3¹ × 5521¹

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 33126

List of positive integer factors of 33126 that divides 33126 without a remainder.

1, 2, 3, 6, 5521, 11042, 16563

Step-4: Factors of 33139

List of positive integer factors of 33139 that divides 33126 without a remainder.

1, 31, 1069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33126 and 33139. The biggest common factor number is the GCF number.
So the greatest common factor 33126 and 33139 is 1.

Also check out the Least Common Multiple of 33126 and 33139