What is the Greatest Common Factor of 17459 and 17476?

Greatest common factor (GCF) of 17459 and 17476 is 17.

GCF(17459,17476) = 17

We will now calculate the prime factors of 17459 and 17476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17459 and 17476.

How to find the GCF of 17459 and 17476?

We will first find the prime factorization of 17459 and 17476. After we will calculate the factors of 17459 and 17476 and find the biggest common factor number .

Step-1: Prime Factorization of 17459

Prime factors of 17459 are 13, 17, 79. Prime factorization of 17459 in exponential form is:

17459 = 13¹ × 17¹ × 79¹

Step-2: Prime Factorization of 17476

Prime factors of 17476 are 2, 17, 257. Prime factorization of 17476 in exponential form is:

17476 = 2² × 17¹ × 257¹

Step-3: Factors of 17459

List of positive integer factors of 17459 that divides 17459 without a remainder.

1, 13, 17, 79, 221, 1027, 1343

Step-4: Factors of 17476

List of positive integer factors of 17476 that divides 17459 without a remainder.

1, 2, 4, 17, 34, 68, 257, 514, 1028, 4369, 8738

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17459 and 17476. The biggest common factor number is the GCF number.
So the greatest common factor 17459 and 17476 is 17.

Also check out the Least Common Multiple of 17459 and 17476