What is the Greatest Common Factor of 96855 and 96870?

Greatest common factor (GCF) of 96855 and 96870 is 15.

GCF(96855,96870) = 15

We will now calculate the prime factors of 96855 and 96870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96855 and 96870.

How to find the GCF of 96855 and 96870?

We will first find the prime factorization of 96855 and 96870. After we will calculate the factors of 96855 and 96870 and find the biggest common factor number .

Step-1: Prime Factorization of 96855

Prime factors of 96855 are 3, 5, 11, 587. Prime factorization of 96855 in exponential form is:

96855 = 3¹ × 5¹ × 11¹ × 587¹

Step-2: Prime Factorization of 96870

Prime factors of 96870 are 2, 3, 5, 3229. Prime factorization of 96870 in exponential form is:

96870 = 2¹ × 3¹ × 5¹ × 3229¹

Step-3: Factors of 96855

List of positive integer factors of 96855 that divides 96855 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 587, 1761, 2935, 6457, 8805, 19371, 32285

Step-4: Factors of 96870

List of positive integer factors of 96870 that divides 96855 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3229, 6458, 9687, 16145, 19374, 32290, 48435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96855 and 96870. The biggest common factor number is the GCF number.
So the greatest common factor 96855 and 96870 is 15.

Also check out the Least Common Multiple of 96855 and 96870