What is the Greatest Common Factor of 67134 and 67149?

Greatest common factor (GCF) of 67134 and 67149 is 3.

GCF(67134,67149) = 3

We will now calculate the prime factors of 67134 and 67149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67134 and 67149.

How to find the GCF of 67134 and 67149?

We will first find the prime factorization of 67134 and 67149. After we will calculate the factors of 67134 and 67149 and find the biggest common factor number .

Step-1: Prime Factorization of 67134

Prime factors of 67134 are 2, 3, 67, 167. Prime factorization of 67134 in exponential form is:

67134 = 2¹ × 3¹ × 67¹ × 167¹

Step-2: Prime Factorization of 67149

Prime factors of 67149 are 3, 829. Prime factorization of 67149 in exponential form is:

67149 = 3⁴ × 829¹

Step-3: Factors of 67134

List of positive integer factors of 67134 that divides 67134 without a remainder.

1, 2, 3, 6, 67, 134, 167, 201, 334, 402, 501, 1002, 11189, 22378, 33567

Step-4: Factors of 67149

List of positive integer factors of 67149 that divides 67134 without a remainder.

1, 3, 9, 27, 81, 829, 2487, 7461, 22383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67134 and 67149. The biggest common factor number is the GCF number.
So the greatest common factor 67134 and 67149 is 3.

Also check out the Least Common Multiple of 67134 and 67149