What is the Greatest Common Factor of 34109 and 34123?

Greatest common factor (GCF) of 34109 and 34123 is 1.

GCF(34109,34123) = 1

We will now calculate the prime factors of 34109 and 34123, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34109 and 34123.

How to find the GCF of 34109 and 34123?

We will first find the prime factorization of 34109 and 34123. After we will calculate the factors of 34109 and 34123 and find the biggest common factor number .

Step-1: Prime Factorization of 34109

Prime factors of 34109 are 23, 1483. Prime factorization of 34109 in exponential form is:

34109 = 23¹ × 1483¹

Step-2: Prime Factorization of 34123

Prime factors of 34123 are 34123. Prime factorization of 34123 in exponential form is:

34123 = 34123¹

Step-3: Factors of 34109

List of positive integer factors of 34109 that divides 34109 without a remainder.

1, 23, 1483

Step-4: Factors of 34123

List of positive integer factors of 34123 that divides 34109 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34109 and 34123. The biggest common factor number is the GCF number.
So the greatest common factor 34109 and 34123 is 1.

Also check out the Least Common Multiple of 34109 and 34123