What is the Greatest Common Factor of 17160 and 17168?

Greatest common factor (GCF) of 17160 and 17168 is 8.

GCF(17160,17168) = 8

We will now calculate the prime factors of 17160 and 17168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17160 and 17168.

How to find the GCF of 17160 and 17168?

We will first find the prime factorization of 17160 and 17168. After we will calculate the factors of 17160 and 17168 and find the biggest common factor number .

Step-1: Prime Factorization of 17160

Prime factors of 17160 are 2, 3, 5, 11, 13. Prime factorization of 17160 in exponential form is:

17160 = 2³ × 3¹ × 5¹ × 11¹ × 13¹

Step-2: Prime Factorization of 17168

Prime factors of 17168 are 2, 29, 37. Prime factorization of 17168 in exponential form is:

17168 = 2⁴ × 29¹ × 37¹

Step-3: Factors of 17160

List of positive integer factors of 17160 that divides 17160 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 13, 15, 20, 22, 24, 26, 30, 33, 39, 40, 44, 52, 55, 60, 65, 66, 78, 88, 104, 110, 120, 130, 132, 143, 156, 165, 195, 220, 260, 264, 286, 312, 330, 390, 429, 440, 520, 572, 660, 715, 780, 858, 1144, 1320, 1430, 1560, 1716, 2145, 2860, 3432, 4290, 5720, 8580

Step-4: Factors of 17168

List of positive integer factors of 17168 that divides 17160 without a remainder.

1, 2, 4, 8, 16, 29, 37, 58, 74, 116, 148, 232, 296, 464, 592, 1073, 2146, 4292, 8584

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17160 and 17168. The biggest common factor number is the GCF number.
So the greatest common factor 17160 and 17168 is 8.

Also check out the Least Common Multiple of 17160 and 17168