What is the Greatest Common Factor of 17160 and 17164?

Greatest common factor (GCF) of 17160 and 17164 is 4.

GCF(17160,17164) = 4

We will now calculate the prime factors of 17160 and 17164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17160 and 17164.

How to find the GCF of 17160 and 17164?

We will first find the prime factorization of 17160 and 17164. After we will calculate the factors of 17160 and 17164 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 17164

Prime factors of 17164 are 2, 7, 613. Prime factorization of 17164 in exponential form is:

17164 = 2² × 7¹ × 613¹

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 17164

List of positive integer factors of 17164 that divides 17160 without a remainder.

1, 2, 4, 7, 14, 28, 613, 1226, 2452, 4291, 8582

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17160 and 17164. The biggest common factor number is the GCF number.
So the greatest common factor 17160 and 17164 is 4.

Also check out the Least Common Multiple of 17160 and 17164