What is the Greatest Common Factor of 34159 and 34174?

Greatest common factor (GCF) of 34159 and 34174 is 1.

GCF(34159,34174) = 1

We will now calculate the prime factors of 34159 and 34174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34159 and 34174.

How to find the GCF of 34159 and 34174?

We will first find the prime factorization of 34159 and 34174. After we will calculate the factors of 34159 and 34174 and find the biggest common factor number .

Step-1: Prime Factorization of 34159

Prime factors of 34159 are 34159. Prime factorization of 34159 in exponential form is:

34159 = 34159¹

Step-2: Prime Factorization of 34174

Prime factors of 34174 are 2, 7, 2441. Prime factorization of 34174 in exponential form is:

34174 = 2¹ × 7¹ × 2441¹

Step-3: Factors of 34159

List of positive integer factors of 34159 that divides 34159 without a remainder.

Step-4: Factors of 34174

List of positive integer factors of 34174 that divides 34159 without a remainder.

1, 2, 7, 14, 2441, 4882, 17087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34159 and 34174. The biggest common factor number is the GCF number.
So the greatest common factor 34159 and 34174 is 1.

Also check out the Least Common Multiple of 34159 and 34174