What is the Greatest Common Factor of 31146 and 31162?

Greatest common factor (GCF) of 31146 and 31162 is 2.

GCF(31146,31162) = 2

We will now calculate the prime factors of 31146 and 31162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31146 and 31162.

How to find the GCF of 31146 and 31162?

We will first find the prime factorization of 31146 and 31162. After we will calculate the factors of 31146 and 31162 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 31162

Prime factors of 31162 are 2, 15581. Prime factorization of 31162 in exponential form is:

31162 = 2¹ × 15581¹

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 31162

List of positive integer factors of 31162 that divides 31146 without a remainder.

1, 2, 15581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31146 and 31162. The biggest common factor number is the GCF number.
So the greatest common factor 31146 and 31162 is 2.

Also check out the Least Common Multiple of 31146 and 31162