What is the Greatest Common Factor of 17340 and 17347?

Greatest common factor (GCF) of 17340 and 17347 is 1.

GCF(17340,17347) = 1

We will now calculate the prime factors of 17340 and 17347, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17340 and 17347.

How to find the GCF of 17340 and 17347?

We will first find the prime factorization of 17340 and 17347. After we will calculate the factors of 17340 and 17347 and find the biggest common factor number .

Step-1: Prime Factorization of 17340

Prime factors of 17340 are 2, 3, 5, 17. Prime factorization of 17340 in exponential form is:

17340 = 2² × 3¹ × 5¹ × 17²

Step-2: Prime Factorization of 17347

Prime factors of 17347 are 11, 19, 83. Prime factorization of 17347 in exponential form is:

17347 = 11¹ × 19¹ × 83¹

Step-3: Factors of 17340

List of positive integer factors of 17340 that divides 17340 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 85, 102, 170, 204, 255, 289, 340, 510, 578, 867, 1020, 1156, 1445, 1734, 2890, 3468, 4335, 5780, 8670

Step-4: Factors of 17347

List of positive integer factors of 17347 that divides 17340 without a remainder.

1, 11, 19, 83, 209, 913, 1577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17340 and 17347. The biggest common factor number is the GCF number.
So the greatest common factor 17340 and 17347 is 1.

Also check out the Least Common Multiple of 17340 and 17347