What is the Greatest Common Factor of 77184 and 77193?

Greatest common factor (GCF) of 77184 and 77193 is 9.

GCF(77184,77193) = 9

We will now calculate the prime factors of 77184 and 77193, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77184 and 77193.

How to find the GCF of 77184 and 77193?

We will first find the prime factorization of 77184 and 77193. After we will calculate the factors of 77184 and 77193 and find the biggest common factor number .

Step-1: Prime Factorization of 77184

Prime factors of 77184 are 2, 3, 67. Prime factorization of 77184 in exponential form is:

77184 = 2⁷ × 3² × 67¹

Step-2: Prime Factorization of 77193

Prime factors of 77193 are 3, 953. Prime factorization of 77193 in exponential form is:

77193 = 3⁴ × 953¹

Step-3: Factors of 77184

List of positive integer factors of 77184 that divides 77184 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 67, 72, 96, 128, 134, 144, 192, 201, 268, 288, 384, 402, 536, 576, 603, 804, 1072, 1152, 1206, 1608, 2144, 2412, 3216, 4288, 4824, 6432, 8576, 9648, 12864, 19296, 25728, 38592

Step-4: Factors of 77193

List of positive integer factors of 77193 that divides 77184 without a remainder.

1, 3, 9, 27, 81, 953, 2859, 8577, 25731

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77184 and 77193. The biggest common factor number is the GCF number.
So the greatest common factor 77184 and 77193 is 9.

Also check out the Least Common Multiple of 77184 and 77193