What is the Greatest Common Factor of 17340 and 17344?

Greatest common factor (GCF) of 17340 and 17344 is 4.

GCF(17340,17344) = 4

We will now calculate the prime factors of 17340 and 17344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17340 and 17344.

How to find the GCF of 17340 and 17344?

We will first find the prime factorization of 17340 and 17344. After we will calculate the factors of 17340 and 17344 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 17344

Prime factors of 17344 are 2, 271. Prime factorization of 17344 in exponential form is:

17344 = 2⁶ × 271¹

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 17344

List of positive integer factors of 17344 that divides 17340 without a remainder.

1, 2, 4, 8, 16, 32, 64, 271, 542, 1084, 2168, 4336, 8672

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17340 and 17344. The biggest common factor number is the GCF number.
So the greatest common factor 17340 and 17344 is 4.

Also check out the Least Common Multiple of 17340 and 17344