What is the Greatest Common Factor of 34143 and 34154?

Greatest common factor (GCF) of 34143 and 34154 is 1.

GCF(34143,34154) = 1

We will now calculate the prime factors of 34143 and 34154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34143 and 34154.

How to find the GCF of 34143 and 34154?

We will first find the prime factorization of 34143 and 34154. After we will calculate the factors of 34143 and 34154 and find the biggest common factor number .

Step-1: Prime Factorization of 34143

Prime factors of 34143 are 3, 19, 599. Prime factorization of 34143 in exponential form is:

34143 = 3¹ × 19¹ × 599¹

Step-2: Prime Factorization of 34154

Prime factors of 34154 are 2, 17077. Prime factorization of 34154 in exponential form is:

34154 = 2¹ × 17077¹

Step-3: Factors of 34143

List of positive integer factors of 34143 that divides 34143 without a remainder.

1, 3, 19, 57, 599, 1797, 11381

Step-4: Factors of 34154

List of positive integer factors of 34154 that divides 34143 without a remainder.

1, 2, 17077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34143 and 34154. The biggest common factor number is the GCF number.
So the greatest common factor 34143 and 34154 is 1.

Also check out the Least Common Multiple of 34143 and 34154