What is the Greatest Common Factor of 96870 and 96880?

Greatest common factor (GCF) of 96870 and 96880 is 10.

GCF(96870,96880) = 10

We will now calculate the prime factors of 96870 and 96880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96870 and 96880.

How to find the GCF of 96870 and 96880?

We will first find the prime factorization of 96870 and 96880. After we will calculate the factors of 96870 and 96880 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 96880

Prime factors of 96880 are 2, 5, 7, 173. Prime factorization of 96880 in exponential form is:

96880 = 2⁴ × 5¹ × 7¹ × 173¹

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 96880

List of positive integer factors of 96880 that divides 96870 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 173, 280, 346, 560, 692, 865, 1211, 1384, 1730, 2422, 2768, 3460, 4844, 6055, 6920, 9688, 12110, 13840, 19376, 24220, 48440

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96870 and 96880. The biggest common factor number is the GCF number.
So the greatest common factor 96870 and 96880 is 10.

Also check out the Least Common Multiple of 96870 and 96880