What is the Greatest Common Factor of 17160 and 17171?

Greatest common factor (GCF) of 17160 and 17171 is 11.

GCF(17160,17171) = 11

We will now calculate the prime factors of 17160 and 17171, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17160 and 17171.

How to find the GCF of 17160 and 17171?

We will first find the prime factorization of 17160 and 17171. After we will calculate the factors of 17160 and 17171 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 17171

Prime factors of 17171 are 7, 11, 223. Prime factorization of 17171 in exponential form is:

17171 = 7¹ × 11¹ × 223¹

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 17171

List of positive integer factors of 17171 that divides 17160 without a remainder.

1, 7, 11, 77, 223, 1561, 2453

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17160 and 17171. The biggest common factor number is the GCF number.
So the greatest common factor 17160 and 17171 is 11.

Also check out the Least Common Multiple of 17160 and 17171