What is the Greatest Common Factor of 33109 and 33123?

Greatest common factor (GCF) of 33109 and 33123 is 1.

GCF(33109,33123) = 1

We will now calculate the prime factors of 33109 and 33123, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33109 and 33123.

How to find the GCF of 33109 and 33123?

We will first find the prime factorization of 33109 and 33123. After we will calculate the factors of 33109 and 33123 and find the biggest common factor number .

Step-1: Prime Factorization of 33109

Prime factors of 33109 are 113, 293. Prime factorization of 33109 in exponential form is:

33109 = 113¹ × 293¹

Step-2: 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-3: Factors of 33109

List of positive integer factors of 33109 that divides 33109 without a remainder.

1, 113, 293

Step-4: Factors of 33123

List of positive integer factors of 33123 that divides 33109 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33109 and 33123. The biggest common factor number is the GCF number.
So the greatest common factor 33109 and 33123 is 1.

Also check out the Least Common Multiple of 33109 and 33123