What is the Greatest Common Factor of 96864 and 96884?

Greatest common factor (GCF) of 96864 and 96884 is 4.

GCF(96864,96884) = 4

We will now calculate the prime factors of 96864 and 96884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96864 and 96884.

How to find the GCF of 96864 and 96884?

We will first find the prime factorization of 96864 and 96884. After we will calculate the factors of 96864 and 96884 and find the biggest common factor number .

Step-1: Prime Factorization of 96864

Prime factors of 96864 are 2, 3, 1009. Prime factorization of 96864 in exponential form is:

96864 = 2⁵ × 3¹ × 1009¹

Step-2: 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-3: Factors of 96864

List of positive integer factors of 96864 that divides 96864 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 1009, 2018, 3027, 4036, 6054, 8072, 12108, 16144, 24216, 32288, 48432

Step-4: Factors of 96884

List of positive integer factors of 96884 that divides 96864 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96864 and 96884. The biggest common factor number is the GCF number.
So the greatest common factor 96864 and 96884 is 4.

Also check out the Least Common Multiple of 96864 and 96884