What is the Greatest Common Factor of 78145 and 78165?

Greatest common factor (GCF) of 78145 and 78165 is 5.

GCF(78145,78165) = 5

We will now calculate the prime factors of 78145 and 78165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78145 and 78165.

How to find the GCF of 78145 and 78165?

We will first find the prime factorization of 78145 and 78165. After we will calculate the factors of 78145 and 78165 and find the biggest common factor number .

Step-1: Prime Factorization of 78145

Prime factors of 78145 are 5, 15629. Prime factorization of 78145 in exponential form is:

78145 = 5¹ × 15629¹

Step-2: 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-3: Factors of 78145

List of positive integer factors of 78145 that divides 78145 without a remainder.

1, 5, 15629

Step-4: Factors of 78165

List of positive integer factors of 78165 that divides 78145 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78145 and 78165. The biggest common factor number is the GCF number.
So the greatest common factor 78145 and 78165 is 5.

Also check out the Least Common Multiple of 78145 and 78165