What is the Greatest Common Factor of 96870 and 96879?

Greatest common factor (GCF) of 96870 and 96879 is 3.

GCF(96870,96879) = 3

We will now calculate the prime factors of 96870 and 96879, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96870 and 96879.

How to find the GCF of 96870 and 96879?

We will first find the prime factorization of 96870 and 96879. After we will calculate the factors of 96870 and 96879 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 96879

Prime factors of 96879 are 3, 43, 751. Prime factorization of 96879 in exponential form is:

96879 = 3¹ × 43¹ × 751¹

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 96879

List of positive integer factors of 96879 that divides 96870 without a remainder.

1, 3, 43, 129, 751, 2253, 32293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96870 and 96879. The biggest common factor number is the GCF number.
So the greatest common factor 96870 and 96879 is 3.

Also check out the Least Common Multiple of 96870 and 96879