What is the Greatest Common Factor of 17334 and 17340?

Greatest common factor (GCF) of 17334 and 17340 is 6.

GCF(17334,17340) = 6

We will now calculate the prime factors of 17334 and 17340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17334 and 17340.

How to find the GCF of 17334 and 17340?

We will first find the prime factorization of 17334 and 17340. After we will calculate the factors of 17334 and 17340 and find the biggest common factor number .

Step-1: Prime Factorization of 17334

Prime factors of 17334 are 2, 3, 107. Prime factorization of 17334 in exponential form is:

17334 = 2¹ × 3⁴ × 107¹

Step-2: 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-3: Factors of 17334

List of positive integer factors of 17334 that divides 17334 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 107, 162, 214, 321, 642, 963, 1926, 2889, 5778, 8667

Step-4: Factors of 17340

List of positive integer factors of 17340 that divides 17334 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17334 and 17340. The biggest common factor number is the GCF number.
So the greatest common factor 17334 and 17340 is 6.

Also check out the Least Common Multiple of 17334 and 17340