What is the Greatest Common Factor of 17353 and 17368?

Greatest common factor (GCF) of 17353 and 17368 is 1.

GCF(17353,17368) = 1

We will now calculate the prime factors of 17353 and 17368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17353 and 17368.

How to find the GCF of 17353 and 17368?

We will first find the prime factorization of 17353 and 17368. After we will calculate the factors of 17353 and 17368 and find the biggest common factor number .

Step-1: Prime Factorization of 17353

Prime factors of 17353 are 7, 37, 67. Prime factorization of 17353 in exponential form is:

17353 = 7¹ × 37¹ × 67¹

Step-2: Prime Factorization of 17368

Prime factors of 17368 are 2, 13, 167. Prime factorization of 17368 in exponential form is:

17368 = 2³ × 13¹ × 167¹

Step-3: Factors of 17353

List of positive integer factors of 17353 that divides 17353 without a remainder.

1, 7, 37, 67, 259, 469, 2479

Step-4: Factors of 17368

List of positive integer factors of 17368 that divides 17353 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 167, 334, 668, 1336, 2171, 4342, 8684

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17353 and 17368. The biggest common factor number is the GCF number.
So the greatest common factor 17353 and 17368 is 1.

Also check out the Least Common Multiple of 17353 and 17368