What is the Greatest Common Factor of 17134 and 17147?

Greatest common factor (GCF) of 17134 and 17147 is 13.

GCF(17134,17147) = 13

We will now calculate the prime factors of 17134 and 17147, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17134 and 17147.

How to find the GCF of 17134 and 17147?

We will first find the prime factorization of 17134 and 17147. After we will calculate the factors of 17134 and 17147 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 17147

Prime factors of 17147 are 13, 1319. Prime factorization of 17147 in exponential form is:

17147 = 13¹ × 1319¹

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 17147

List of positive integer factors of 17147 that divides 17134 without a remainder.

1, 13, 1319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17134 and 17147. The biggest common factor number is the GCF number.
So the greatest common factor 17134 and 17147 is 13.

Also check out the Least Common Multiple of 17134 and 17147