What is the Greatest Common Factor of 59160 and 59173?

Greatest common factor (GCF) of 59160 and 59173 is 1.

GCF(59160,59173) = 1

We will now calculate the prime factors of 59160 and 59173, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59160 and 59173.

How to find the GCF of 59160 and 59173?

We will first find the prime factorization of 59160 and 59173. After we will calculate the factors of 59160 and 59173 and find the biggest common factor number .

Step-1: Prime Factorization of 59160

Prime factors of 59160 are 2, 3, 5, 17, 29. Prime factorization of 59160 in exponential form is:

59160 = 2³ × 3¹ × 5¹ × 17¹ × 29¹

Step-2: Prime Factorization of 59173

Prime factors of 59173 are 47, 1259. Prime factorization of 59173 in exponential form is:

59173 = 47¹ × 1259¹

Step-3: Factors of 59160

List of positive integer factors of 59160 that divides 59160 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 17, 20, 24, 29, 30, 34, 40, 51, 58, 60, 68, 85, 87, 102, 116, 120, 136, 145, 170, 174, 204, 232, 255, 290, 340, 348, 408, 435, 493, 510, 580, 680, 696, 870, 986, 1020, 1160, 1479, 1740, 1972, 2040, 2465, 2958, 3480, 3944, 4930, 5916, 7395, 9860, 11832, 14790, 19720, 29580

Step-4: Factors of 59173

List of positive integer factors of 59173 that divides 59160 without a remainder.

1, 47, 1259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59160 and 59173. The biggest common factor number is the GCF number.
So the greatest common factor 59160 and 59173 is 1.

Also check out the Least Common Multiple of 59160 and 59173