What is the Greatest Common Factor of 31146 and 31161?

Greatest common factor (GCF) of 31146 and 31161 is 3.

GCF(31146,31161) = 3

We will now calculate the prime factors of 31146 and 31161, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31146 and 31161.

How to find the GCF of 31146 and 31161?

We will first find the prime factorization of 31146 and 31161. After we will calculate the factors of 31146 and 31161 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 31161

Prime factors of 31161 are 3, 13, 17, 47. Prime factorization of 31161 in exponential form is:

31161 = 3¹ × 13¹ × 17¹ × 47¹

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 31161

List of positive integer factors of 31161 that divides 31146 without a remainder.

1, 3, 13, 17, 39, 47, 51, 141, 221, 611, 663, 799, 1833, 2397, 10387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31146 and 31161. The biggest common factor number is the GCF number.
So the greatest common factor 31146 and 31161 is 3.

Also check out the Least Common Multiple of 31146 and 31161