What is the Greatest Common Factor of 17160 and 17177?

Greatest common factor (GCF) of 17160 and 17177 is 1.

GCF(17160,17177) = 1

We will now calculate the prime factors of 17160 and 17177, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17160 and 17177.

How to find the GCF of 17160 and 17177?

We will first find the prime factorization of 17160 and 17177. After we will calculate the factors of 17160 and 17177 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 17177

Prime factors of 17177 are 89, 193. Prime factorization of 17177 in exponential form is:

17177 = 89¹ × 193¹

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 17177

List of positive integer factors of 17177 that divides 17160 without a remainder.

1, 89, 193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17160 and 17177. The biggest common factor number is the GCF number.
So the greatest common factor 17160 and 17177 is 1.

Also check out the Least Common Multiple of 17160 and 17177