What is the Greatest Common Factor of 67149 and 67161?

Greatest common factor (GCF) of 67149 and 67161 is 3.

GCF(67149,67161) = 3

We will now calculate the prime factors of 67149 and 67161, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67149 and 67161.

How to find the GCF of 67149 and 67161?

We will first find the prime factorization of 67149 and 67161. After we will calculate the factors of 67149 and 67161 and find the biggest common factor number .

Step-1: Prime Factorization of 67149

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

67149 = 3⁴ × 829¹

Step-2: Prime Factorization of 67161

Prime factors of 67161 are 3, 61, 367. Prime factorization of 67161 in exponential form is:

67161 = 3¹ × 61¹ × 367¹

Step-3: Factors of 67149

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

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

Step-4: Factors of 67161

List of positive integer factors of 67161 that divides 67149 without a remainder.

1, 3, 61, 183, 367, 1101, 22387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67149 and 67161. The biggest common factor number is the GCF number.
So the greatest common factor 67149 and 67161 is 3.

Also check out the Least Common Multiple of 67149 and 67161