What is the Greatest Common Factor of 96880 and 96888?

Greatest common factor (GCF) of 96880 and 96888 is 8.

GCF(96880,96888) = 8

We will now calculate the prime factors of 96880 and 96888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96880 and 96888.

How to find the GCF of 96880 and 96888?

We will first find the prime factorization of 96880 and 96888. After we will calculate the factors of 96880 and 96888 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96888

Prime factors of 96888 are 2, 3, 11, 367. Prime factorization of 96888 in exponential form is:

96888 = 2³ × 3¹ × 11¹ × 367¹

Step-3: Factors of 96880

List of positive integer factors of 96880 that divides 96880 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

Step-4: Factors of 96888

List of positive integer factors of 96888 that divides 96880 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264, 367, 734, 1101, 1468, 2202, 2936, 4037, 4404, 8074, 8808, 12111, 16148, 24222, 32296, 48444

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96880 and 96888. The biggest common factor number is the GCF number.
So the greatest common factor 96880 and 96888 is 8.

Also check out the Least Common Multiple of 96880 and 96888