What is the Greatest Common Factor of 31146 and 31160?

Greatest common factor (GCF) of 31146 and 31160 is 2.

GCF(31146,31160) = 2

We will now calculate the prime factors of 31146 and 31160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31146 and 31160.

How to find the GCF of 31146 and 31160?

We will first find the prime factorization of 31146 and 31160. After we will calculate the factors of 31146 and 31160 and find the biggest common factor number .

Step-1: Prime Factorization of 31146

Prime factors of 31146 are 2, 3, 29, 179. Prime factorization of 31146 in exponential form is:

31146 = 2¹ × 3¹ × 29¹ × 179¹

Step-2: Prime Factorization of 31160

Prime factors of 31160 are 2, 5, 19, 41. Prime factorization of 31160 in exponential form is:

31160 = 2³ × 5¹ × 19¹ × 41¹

Step-3: Factors of 31146

List of positive integer factors of 31146 that divides 31146 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 179, 358, 537, 1074, 5191, 10382, 15573

Step-4: Factors of 31160

List of positive integer factors of 31160 that divides 31146 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 41, 76, 82, 95, 152, 164, 190, 205, 328, 380, 410, 760, 779, 820, 1558, 1640, 3116, 3895, 6232, 7790, 15580

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31146 and 31160. The biggest common factor number is the GCF number.
So the greatest common factor 31146 and 31160 is 2.

Also check out the Least Common Multiple of 31146 and 31160