What is the Greatest Common Factor of 67164 and 67168?

Greatest common factor (GCF) of 67164 and 67168 is 4.

GCF(67164,67168) = 4

We will now calculate the prime factors of 67164 and 67168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67164 and 67168.

How to find the GCF of 67164 and 67168?

We will first find the prime factorization of 67164 and 67168. After we will calculate the factors of 67164 and 67168 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 67168

Prime factors of 67168 are 2, 2099. Prime factorization of 67168 in exponential form is:

67168 = 2⁵ × 2099¹

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 67168

List of positive integer factors of 67168 that divides 67164 without a remainder.

1, 2, 4, 8, 16, 32, 2099, 4198, 8396, 16792, 33584

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67164 and 67168. The biggest common factor number is the GCF number.
So the greatest common factor 67164 and 67168 is 4.

Also check out the Least Common Multiple of 67164 and 67168