What is the Greatest Common Factor of 78576 and 78585?

Greatest common factor (GCF) of 78576 and 78585 is 3.

GCF(78576,78585) = 3

We will now calculate the prime factors of 78576 and 78585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78576 and 78585.

How to find the GCF of 78576 and 78585?

We will first find the prime factorization of 78576 and 78585. After we will calculate the factors of 78576 and 78585 and find the biggest common factor number .

Step-1: Prime Factorization of 78576

Prime factors of 78576 are 2, 3, 1637. Prime factorization of 78576 in exponential form is:

78576 = 2⁴ × 3¹ × 1637¹

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 78576

List of positive integer factors of 78576 that divides 78576 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1637, 3274, 4911, 6548, 9822, 13096, 19644, 26192, 39288

Step-4: Factors of 78585

List of positive integer factors of 78585 that divides 78576 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 78576 and 78585. The biggest common factor number is the GCF number.
So the greatest common factor 78576 and 78585 is 3.

Also check out the Least Common Multiple of 78576 and 78585