What is the Greatest Common Factor of 96825 and 96840?

Greatest common factor (GCF) of 96825 and 96840 is 15.

GCF(96825,96840) = 15

We will now calculate the prime factors of 96825 and 96840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96825 and 96840.

How to find the GCF of 96825 and 96840?

We will first find the prime factorization of 96825 and 96840. After we will calculate the factors of 96825 and 96840 and find the biggest common factor number .

Step-1: Prime Factorization of 96825

Prime factors of 96825 are 3, 5, 1291. Prime factorization of 96825 in exponential form is:

96825 = 3¹ × 5² × 1291¹

Step-2: 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-3: Factors of 96825

List of positive integer factors of 96825 that divides 96825 without a remainder.

1, 3, 5, 15, 25, 75, 1291, 3873, 6455, 19365, 32275

Step-4: Factors of 96840

List of positive integer factors of 96840 that divides 96825 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96825 and 96840. The biggest common factor number is the GCF number.
So the greatest common factor 96825 and 96840 is 15.

Also check out the Least Common Multiple of 96825 and 96840