What is the Greatest Common Factor of 67184 and 67201?

Greatest common factor (GCF) of 67184 and 67201 is 17.

GCF(67184,67201) = 17

We will now calculate the prime factors of 67184 and 67201, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67184 and 67201.

How to find the GCF of 67184 and 67201?

We will first find the prime factorization of 67184 and 67201. After we will calculate the factors of 67184 and 67201 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 67201

Prime factors of 67201 are 17, 59, 67. Prime factorization of 67201 in exponential form is:

67201 = 17¹ × 59¹ × 67¹

Step-3: Factors of 67184

List of positive integer factors of 67184 that divides 67184 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

Step-4: Factors of 67201

List of positive integer factors of 67201 that divides 67184 without a remainder.

1, 17, 59, 67, 1003, 1139, 3953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67184 and 67201. The biggest common factor number is the GCF number.
So the greatest common factor 67184 and 67201 is 17.

Also check out the Least Common Multiple of 67184 and 67201