What is the Greatest Common Factor of 17134 and 17141?

Greatest common factor (GCF) of 17134 and 17141 is 1.

GCF(17134,17141) = 1

We will now calculate the prime factors of 17134 and 17141, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17134 and 17141.

How to find the GCF of 17134 and 17141?

We will first find the prime factorization of 17134 and 17141. After we will calculate the factors of 17134 and 17141 and find the biggest common factor number .

Step-1: Prime Factorization of 17134

Prime factors of 17134 are 2, 13, 659. Prime factorization of 17134 in exponential form is:

17134 = 2¹ × 13¹ × 659¹

Step-2: Prime Factorization of 17141

Prime factors of 17141 are 61, 281. Prime factorization of 17141 in exponential form is:

17141 = 61¹ × 281¹

Step-3: Factors of 17134

List of positive integer factors of 17134 that divides 17134 without a remainder.

1, 2, 13, 26, 659, 1318, 8567

Step-4: Factors of 17141

List of positive integer factors of 17141 that divides 17134 without a remainder.

1, 61, 281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17134 and 17141. The biggest common factor number is the GCF number.
So the greatest common factor 17134 and 17141 is 1.

Also check out the Least Common Multiple of 17134 and 17141