What is the Greatest Common Factor of 17160 and 17170?

Greatest common factor (GCF) of 17160 and 17170 is 10.

GCF(17160,17170) = 10

We will now calculate the prime factors of 17160 and 17170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17160 and 17170.

How to find the GCF of 17160 and 17170?

We will first find the prime factorization of 17160 and 17170. After we will calculate the factors of 17160 and 17170 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 17170

Prime factors of 17170 are 2, 5, 17, 101. Prime factorization of 17170 in exponential form is:

17170 = 2¹ × 5¹ × 17¹ × 101¹

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 17170

List of positive integer factors of 17170 that divides 17160 without a remainder.

1, 2, 5, 10, 17, 34, 85, 101, 170, 202, 505, 1010, 1717, 3434, 8585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17160 and 17170. The biggest common factor number is the GCF number.
So the greatest common factor 17160 and 17170 is 10.

Also check out the Least Common Multiple of 17160 and 17170