What is the Greatest Common Factor of 96840 and 96855?

Greatest common factor (GCF) of 96840 and 96855 is 15.

GCF(96840,96855) = 15

We will now calculate the prime factors of 96840 and 96855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96840 and 96855.

How to find the GCF of 96840 and 96855?

We will first find the prime factorization of 96840 and 96855. After we will calculate the factors of 96840 and 96855 and find the biggest common factor number .

Step-1: Prime Factorization of 96840

Prime factors of 96840 are 2, 3, 5, 269. Prime factorization of 96840 in exponential form is:

96840 = 2³ × 3² × 5¹ × 269¹

Step-2: 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-3: Factors of 96840

List of positive integer factors of 96840 that divides 96840 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 269, 360, 538, 807, 1076, 1345, 1614, 2152, 2421, 2690, 3228, 4035, 4842, 5380, 6456, 8070, 9684, 10760, 12105, 16140, 19368, 24210, 32280, 48420

Step-4: Factors of 96855

List of positive integer factors of 96855 that divides 96840 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96840 and 96855. The biggest common factor number is the GCF number.
So the greatest common factor 96840 and 96855 is 15.

Also check out the Least Common Multiple of 96840 and 96855