What is the Greatest Common Factor of 17160 and 17175?

Greatest common factor (GCF) of 17160 and 17175 is 15.

GCF(17160,17175) = 15

We will now calculate the prime factors of 17160 and 17175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17160 and 17175.

How to find the GCF of 17160 and 17175?

We will first find the prime factorization of 17160 and 17175. After we will calculate the factors of 17160 and 17175 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 17175

Prime factors of 17175 are 3, 5, 229. Prime factorization of 17175 in exponential form is:

17175 = 3¹ × 5² × 229¹

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 17175

List of positive integer factors of 17175 that divides 17160 without a remainder.

1, 3, 5, 15, 25, 75, 229, 687, 1145, 3435, 5725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17160 and 17175. The biggest common factor number is the GCF number.
So the greatest common factor 17160 and 17175 is 15.

Also check out the Least Common Multiple of 17160 and 17175