What is the Greatest Common Factor of 78165 and 78183?

Greatest common factor (GCF) of 78165 and 78183 is 9.

GCF(78165,78183) = 9

We will now calculate the prime factors of 78165 and 78183, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78165 and 78183.

How to find the GCF of 78165 and 78183?

We will first find the prime factorization of 78165 and 78183. After we will calculate the factors of 78165 and 78183 and find the biggest common factor number .

Step-1: Prime Factorization of 78165

Prime factors of 78165 are 3, 5, 193. Prime factorization of 78165 in exponential form is:

78165 = 3⁴ × 5¹ × 193¹

Step-2: Prime Factorization of 78183

Prime factors of 78183 are 3, 7, 17, 73. Prime factorization of 78183 in exponential form is:

78183 = 3² × 7¹ × 17¹ × 73¹

Step-3: Factors of 78165

List of positive integer factors of 78165 that divides 78165 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 193, 405, 579, 965, 1737, 2895, 5211, 8685, 15633, 26055

Step-4: Factors of 78183

List of positive integer factors of 78183 that divides 78165 without a remainder.

1, 3, 7, 9, 17, 21, 51, 63, 73, 119, 153, 219, 357, 511, 657, 1071, 1241, 1533, 3723, 4599, 8687, 11169, 26061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78165 and 78183. The biggest common factor number is the GCF number.
So the greatest common factor 78165 and 78183 is 9.

Also check out the Least Common Multiple of 78165 and 78183