What is the Greatest Common Factor of 34117 and 34123?

Greatest common factor (GCF) of 34117 and 34123 is 1.

GCF(34117,34123) = 1

We will now calculate the prime factors of 34117 and 34123, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34117 and 34123.

How to find the GCF of 34117 and 34123?

We will first find the prime factorization of 34117 and 34123. After we will calculate the factors of 34117 and 34123 and find the biggest common factor number .

Step-1: Prime Factorization of 34117

Prime factors of 34117 are 109, 313. Prime factorization of 34117 in exponential form is:

34117 = 109¹ × 313¹

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 34117

List of positive integer factors of 34117 that divides 34117 without a remainder.

1, 109, 313

Step-4: Factors of 34123

List of positive integer factors of 34123 that divides 34117 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34117 and 34123. The biggest common factor number is the GCF number.
So the greatest common factor 34117 and 34123 is 1.

Also check out the Least Common Multiple of 34117 and 34123