What is the Greatest Common Factor of 17344 and 17364?

Greatest common factor (GCF) of 17344 and 17364 is 4.

GCF(17344,17364) = 4

We will now calculate the prime factors of 17344 and 17364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17344 and 17364.

How to find the GCF of 17344 and 17364?

We will first find the prime factorization of 17344 and 17364. After we will calculate the factors of 17344 and 17364 and find the biggest common factor number .

Step-1: Prime Factorization of 17344

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

17344 = 2⁶ × 271¹

Step-2: Prime Factorization of 17364

Prime factors of 17364 are 2, 3, 1447. Prime factorization of 17364 in exponential form is:

17364 = 2² × 3¹ × 1447¹

Step-3: Factors of 17344

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

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

Step-4: Factors of 17364

List of positive integer factors of 17364 that divides 17344 without a remainder.

1, 2, 3, 4, 6, 12, 1447, 2894, 4341, 5788, 8682

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17344 and 17364. The biggest common factor number is the GCF number.
So the greatest common factor 17344 and 17364 is 4.

Also check out the Least Common Multiple of 17344 and 17364