What is the Greatest Common Factor of 67168 and 67184?

Greatest common factor (GCF) of 67168 and 67184 is 16.

GCF(67168,67184) = 16

We will now calculate the prime factors of 67168 and 67184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67168 and 67184.

How to find the GCF of 67168 and 67184?

We will first find the prime factorization of 67168 and 67184. After we will calculate the factors of 67168 and 67184 and find the biggest common factor number .

Step-1: Prime Factorization of 67168

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

67168 = 2⁵ × 2099¹

Step-2: Prime Factorization of 67184

Prime factors of 67184 are 2, 13, 17, 19. Prime factorization of 67184 in exponential form is:

67184 = 2⁴ × 13¹ × 17¹ × 19¹

Step-3: Factors of 67168

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

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

Step-4: Factors of 67184

List of positive integer factors of 67184 that divides 67168 without a remainder.

1, 2, 4, 8, 13, 16, 17, 19, 26, 34, 38, 52, 68, 76, 104, 136, 152, 208, 221, 247, 272, 304, 323, 442, 494, 646, 884, 988, 1292, 1768, 1976, 2584, 3536, 3952, 4199, 5168, 8398, 16796, 33592

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67168 and 67184. The biggest common factor number is the GCF number.
So the greatest common factor 67168 and 67184 is 16.

Also check out the Least Common Multiple of 67168 and 67184