What is the Greatest Common Factor of 96844 and 96864?

Greatest common factor (GCF) of 96844 and 96864 is 4.

GCF(96844,96864) = 4

We will now calculate the prime factors of 96844 and 96864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96844 and 96864.

How to find the GCF of 96844 and 96864?

We will first find the prime factorization of 96844 and 96864. After we will calculate the factors of 96844 and 96864 and find the biggest common factor number .

Step-1: Prime Factorization of 96844

Prime factors of 96844 are 2, 11, 31, 71. Prime factorization of 96844 in exponential form is:

96844 = 2² × 11¹ × 31¹ × 71¹

Step-2: 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-3: Factors of 96844

List of positive integer factors of 96844 that divides 96844 without a remainder.

1, 2, 4, 11, 22, 31, 44, 62, 71, 124, 142, 284, 341, 682, 781, 1364, 1562, 2201, 3124, 4402, 8804, 24211, 48422

Step-4: Factors of 96864

List of positive integer factors of 96864 that divides 96844 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96844 and 96864. The biggest common factor number is the GCF number.
So the greatest common factor 96844 and 96864 is 4.

Also check out the Least Common Multiple of 96844 and 96864