What is the Greatest Common Factor of 67165 and 67184?

Greatest common factor (GCF) of 67165 and 67184 is 19.

GCF(67165,67184) = 19

We will now calculate the prime factors of 67165 and 67184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67165 and 67184.

How to find the GCF of 67165 and 67184?

We will first find the prime factorization of 67165 and 67184. After we will calculate the factors of 67165 and 67184 and find the biggest common factor number .

Step-1: Prime Factorization of 67165

Prime factors of 67165 are 5, 7, 19, 101. Prime factorization of 67165 in exponential form is:

67165 = 5¹ × 7¹ × 19¹ × 101¹

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 67165

List of positive integer factors of 67165 that divides 67165 without a remainder.

1, 5, 7, 19, 35, 95, 101, 133, 505, 665, 707, 1919, 3535, 9595, 13433

Step-4: Factors of 67184

List of positive integer factors of 67184 that divides 67165 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 67165 and 67184. The biggest common factor number is the GCF number.
So the greatest common factor 67165 and 67184 is 19.

Also check out the Least Common Multiple of 67165 and 67184