What is the Greatest Common Factor of 17144 and 17160?

Greatest common factor (GCF) of 17144 and 17160 is 8.

GCF(17144,17160) = 8

We will now calculate the prime factors of 17144 and 17160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17144 and 17160.

How to find the GCF of 17144 and 17160?

We will first find the prime factorization of 17144 and 17160. After we will calculate the factors of 17144 and 17160 and find the biggest common factor number .

Step-1: Prime Factorization of 17144

Prime factors of 17144 are 2, 2143. Prime factorization of 17144 in exponential form is:

17144 = 2³ × 2143¹

Step-2: 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-3: Factors of 17144

List of positive integer factors of 17144 that divides 17144 without a remainder.

1, 2, 4, 8, 2143, 4286, 8572

Step-4: Factors of 17160

List of positive integer factors of 17160 that divides 17144 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17144 and 17160. The biggest common factor number is the GCF number.
So the greatest common factor 17144 and 17160 is 8.

Also check out the Least Common Multiple of 17144 and 17160