What is the Greatest Common Factor of 67131 and 67146?

Greatest common factor (GCF) of 67131 and 67146 is 3.

GCF(67131,67146) = 3

We will now calculate the prime factors of 67131 and 67146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67131 and 67146.

How to find the GCF of 67131 and 67146?

We will first find the prime factorization of 67131 and 67146. After we will calculate the factors of 67131 and 67146 and find the biggest common factor number .

Step-1: Prime Factorization of 67131

Prime factors of 67131 are 3, 7459. Prime factorization of 67131 in exponential form is:

67131 = 3² × 7459¹

Step-2: Prime Factorization of 67146

Prime factors of 67146 are 2, 3, 19, 31. Prime factorization of 67146 in exponential form is:

67146 = 2¹ × 3¹ × 19² × 31¹

Step-3: Factors of 67131

List of positive integer factors of 67131 that divides 67131 without a remainder.

1, 3, 9, 7459, 22377

Step-4: Factors of 67146

List of positive integer factors of 67146 that divides 67131 without a remainder.

1, 2, 3, 6, 19, 31, 38, 57, 62, 93, 114, 186, 361, 589, 722, 1083, 1178, 1767, 2166, 3534, 11191, 22382, 33573

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67131 and 67146. The biggest common factor number is the GCF number.
So the greatest common factor 67131 and 67146 is 3.

Also check out the Least Common Multiple of 67131 and 67146