What is the Greatest Common Factor of 17160 and 17176?

Greatest common factor (GCF) of 17160 and 17176 is 8.

GCF(17160,17176) = 8

We will now calculate the prime factors of 17160 and 17176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17160 and 17176.

How to find the GCF of 17160 and 17176?

We will first find the prime factorization of 17160 and 17176. After we will calculate the factors of 17160 and 17176 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 17176

Prime factors of 17176 are 2, 19, 113. Prime factorization of 17176 in exponential form is:

17176 = 2³ × 19¹ × 113¹

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 17176

List of positive integer factors of 17176 that divides 17160 without a remainder.

1, 2, 4, 8, 19, 38, 76, 113, 152, 226, 452, 904, 2147, 4294, 8588

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17160 and 17176. The biggest common factor number is the GCF number.
So the greatest common factor 17160 and 17176 is 8.

Also check out the Least Common Multiple of 17160 and 17176