What is the Greatest Common Factor of 17147 and 17160?

Greatest common factor (GCF) of 17147 and 17160 is 13.

GCF(17147,17160) = 13

We will now calculate the prime factors of 17147 and 17160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17147 and 17160.

How to find the GCF of 17147 and 17160?

We will first find the prime factorization of 17147 and 17160. After we will calculate the factors of 17147 and 17160 and find the biggest common factor number .

Step-1: Prime Factorization of 17147

Prime factors of 17147 are 13, 1319. Prime factorization of 17147 in exponential form is:

17147 = 13¹ × 1319¹

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 17147

List of positive integer factors of 17147 that divides 17147 without a remainder.

1, 13, 1319

Step-4: Factors of 17160

List of positive integer factors of 17160 that divides 17147 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 17147 and 17160. The biggest common factor number is the GCF number.
So the greatest common factor 17147 and 17160 is 13.

Also check out the Least Common Multiple of 17147 and 17160