What is the Greatest Common Factor of 59142 and 59160?

Greatest common factor (GCF) of 59142 and 59160 is 6.

GCF(59142,59160) = 6

We will now calculate the prime factors of 59142 and 59160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59142 and 59160.

How to find the GCF of 59142 and 59160?

We will first find the prime factorization of 59142 and 59160. After we will calculate the factors of 59142 and 59160 and find the biggest common factor number .

Step-1: Prime Factorization of 59142

Prime factors of 59142 are 2, 3, 9857. Prime factorization of 59142 in exponential form is:

59142 = 2¹ × 3¹ × 9857¹

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 59142

List of positive integer factors of 59142 that divides 59142 without a remainder.

1, 2, 3, 6, 9857, 19714, 29571

Step-4: Factors of 59160

List of positive integer factors of 59160 that divides 59142 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 59142 and 59160. The biggest common factor number is the GCF number.
So the greatest common factor 59142 and 59160 is 6.

Also check out the Least Common Multiple of 59142 and 59160