What is the Greatest Common Factor of 78565 and 78585?

Greatest common factor (GCF) of 78565 and 78585 is 5.

GCF(78565,78585) = 5

We will now calculate the prime factors of 78565 and 78585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78565 and 78585.

How to find the GCF of 78565 and 78585?

We will first find the prime factorization of 78565 and 78585. After we will calculate the factors of 78565 and 78585 and find the biggest common factor number .

Step-1: Prime Factorization of 78565

Prime factors of 78565 are 5, 19, 827. Prime factorization of 78565 in exponential form is:

78565 = 5¹ × 19¹ × 827¹

Step-2: Prime Factorization of 78585

Prime factors of 78585 are 3, 5, 13, 31. Prime factorization of 78585 in exponential form is:

78585 = 3¹ × 5¹ × 13² × 31¹

Step-3: Factors of 78565

List of positive integer factors of 78565 that divides 78565 without a remainder.

1, 5, 19, 95, 827, 4135, 15713

Step-4: Factors of 78585

List of positive integer factors of 78585 that divides 78565 without a remainder.

1, 3, 5, 13, 15, 31, 39, 65, 93, 155, 169, 195, 403, 465, 507, 845, 1209, 2015, 2535, 5239, 6045, 15717, 26195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78565 and 78585. The biggest common factor number is the GCF number.
So the greatest common factor 78565 and 78585 is 5.

Also check out the Least Common Multiple of 78565 and 78585