What is the Greatest Common Factor of 96888 and 96899?

Greatest common factor (GCF) of 96888 and 96899 is 11.

GCF(96888,96899) = 11

We will now calculate the prime factors of 96888 and 96899, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96888 and 96899.

How to find the GCF of 96888 and 96899?

We will first find the prime factorization of 96888 and 96899. After we will calculate the factors of 96888 and 96899 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96899

Prime factors of 96899 are 11, 23, 383. Prime factorization of 96899 in exponential form is:

96899 = 11¹ × 23¹ × 383¹

Step-3: Factors of 96888

List of positive integer factors of 96888 that divides 96888 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

Step-4: Factors of 96899

List of positive integer factors of 96899 that divides 96888 without a remainder.

1, 11, 23, 253, 383, 4213, 8809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96888 and 96899. The biggest common factor number is the GCF number.
So the greatest common factor 96888 and 96899 is 11.

Also check out the Least Common Multiple of 96888 and 96899