What is the Greatest Common Factor of 17140 and 17160?

Greatest common factor (GCF) of 17140 and 17160 is 20.

GCF(17140,17160) = 20

We will now calculate the prime factors of 17140 and 17160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17140 and 17160.

How to find the GCF of 17140 and 17160?

We will first find the prime factorization of 17140 and 17160. After we will calculate the factors of 17140 and 17160 and find the biggest common factor number .

Step-1: Prime Factorization of 17140

Prime factors of 17140 are 2, 5, 857. Prime factorization of 17140 in exponential form is:

17140 = 2² × 5¹ × 857¹

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 17140

List of positive integer factors of 17140 that divides 17140 without a remainder.

1, 2, 4, 5, 10, 20, 857, 1714, 3428, 4285, 8570

Step-4: Factors of 17160

List of positive integer factors of 17160 that divides 17140 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 17140 and 17160. The biggest common factor number is the GCF number.
So the greatest common factor 17140 and 17160 is 20.

Also check out the Least Common Multiple of 17140 and 17160