What is the Greatest Common Factor of 96870 and 96885?

Greatest common factor (GCF) of 96870 and 96885 is 15.

GCF(96870,96885) = 15

We will now calculate the prime factors of 96870 and 96885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96870 and 96885.

How to find the GCF of 96870 and 96885?

We will first find the prime factorization of 96870 and 96885. After we will calculate the factors of 96870 and 96885 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96885

Prime factors of 96885 are 3, 5, 2153. Prime factorization of 96885 in exponential form is:

96885 = 3² × 5¹ × 2153¹

Step-3: Factors of 96870

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

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

Step-4: Factors of 96885

List of positive integer factors of 96885 that divides 96870 without a remainder.

1, 3, 5, 9, 15, 45, 2153, 6459, 10765, 19377, 32295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96870 and 96885. The biggest common factor number is the GCF number.
So the greatest common factor 96870 and 96885 is 15.

Also check out the Least Common Multiple of 96870 and 96885