What is the Greatest Common Factor of 78585 and 78596?

Greatest common factor (GCF) of 78585 and 78596 is 1.

GCF(78585,78596) = 1

We will now calculate the prime factors of 78585 and 78596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78585 and 78596.

How to find the GCF of 78585 and 78596?

We will first find the prime factorization of 78585 and 78596. After we will calculate the factors of 78585 and 78596 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 78596

Prime factors of 78596 are 2, 7, 401. Prime factorization of 78596 in exponential form is:

78596 = 2² × 7² × 401¹

Step-3: Factors of 78585

List of positive integer factors of 78585 that divides 78585 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

Step-4: Factors of 78596

List of positive integer factors of 78596 that divides 78585 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 401, 802, 1604, 2807, 5614, 11228, 19649, 39298

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78585 and 78596. The biggest common factor number is the GCF number.
So the greatest common factor 78585 and 78596 is 1.

Also check out the Least Common Multiple of 78585 and 78596