What is the Greatest Common Factor of 59140 and 59160?

Greatest common factor (GCF) of 59140 and 59160 is 20.

GCF(59140,59160) = 20

We will now calculate the prime factors of 59140 and 59160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59140 and 59160.

How to find the GCF of 59140 and 59160?

We will first find the prime factorization of 59140 and 59160. After we will calculate the factors of 59140 and 59160 and find the biggest common factor number .

Step-1: Prime Factorization of 59140

Prime factors of 59140 are 2, 5, 2957. Prime factorization of 59140 in exponential form is:

59140 = 2² × 5¹ × 2957¹

Step-2: 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-3: Factors of 59140

List of positive integer factors of 59140 that divides 59140 without a remainder.

1, 2, 4, 5, 10, 20, 2957, 5914, 11828, 14785, 29570

Step-4: Factors of 59160

List of positive integer factors of 59160 that divides 59140 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59140 and 59160. The biggest common factor number is the GCF number.
So the greatest common factor 59140 and 59160 is 20.

Also check out the Least Common Multiple of 59140 and 59160