What is the Greatest Common Factor of 96884 and 96888?

Greatest common factor (GCF) of 96884 and 96888 is 4.

GCF(96884,96888) = 4

We will now calculate the prime factors of 96884 and 96888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96884 and 96888.

How to find the GCF of 96884 and 96888?

We will first find the prime factorization of 96884 and 96888. After we will calculate the factors of 96884 and 96888 and find the biggest common factor number .

Step-1: Prime Factorization of 96884

Prime factors of 96884 are 2, 53, 457. Prime factorization of 96884 in exponential form is:

96884 = 2² × 53¹ × 457¹

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 96884

List of positive integer factors of 96884 that divides 96884 without a remainder.

1, 2, 4, 53, 106, 212, 457, 914, 1828, 24221, 48442

Step-4: Factors of 96888

List of positive integer factors of 96888 that divides 96884 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 96884 and 96888. The biggest common factor number is the GCF number.
So the greatest common factor 96884 and 96888 is 4.

Also check out the Least Common Multiple of 96884 and 96888