What is the Greatest Common Factor of 67164 and 67178?

Greatest common factor (GCF) of 67164 and 67178 is 2.

GCF(67164,67178) = 2

We will now calculate the prime factors of 67164 and 67178, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67164 and 67178.

How to find the GCF of 67164 and 67178?

We will first find the prime factorization of 67164 and 67178. After we will calculate the factors of 67164 and 67178 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 67178

Prime factors of 67178 are 2, 33589. Prime factorization of 67178 in exponential form is:

67178 = 2¹ × 33589¹

Step-3: Factors of 67164

List of positive integer factors of 67164 that divides 67164 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

Step-4: Factors of 67178

List of positive integer factors of 67178 that divides 67164 without a remainder.

1, 2, 33589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67164 and 67178. The biggest common factor number is the GCF number.
So the greatest common factor 67164 and 67178 is 2.

Also check out the Least Common Multiple of 67164 and 67178