What is the Greatest Common Factor of 67146 and 67164?

Greatest common factor (GCF) of 67146 and 67164 is 6.

GCF(67146,67164) = 6

We will now calculate the prime factors of 67146 and 67164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67146 and 67164.

How to find the GCF of 67146 and 67164?

We will first find the prime factorization of 67146 and 67164. After we will calculate the factors of 67146 and 67164 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 67164

Prime factors of 67164 are 2, 3, 29, 193. Prime factorization of 67164 in exponential form is:

67164 = 2² × 3¹ × 29¹ × 193¹

Step-3: Factors of 67146

List of positive integer factors of 67146 that divides 67146 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

Step-4: Factors of 67164

List of positive integer factors of 67164 that divides 67146 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 193, 348, 386, 579, 772, 1158, 2316, 5597, 11194, 16791, 22388, 33582

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67146 and 67164. The biggest common factor number is the GCF number.
So the greatest common factor 67146 and 67164 is 6.

Also check out the Least Common Multiple of 67146 and 67164