What is the Greatest Common Factor of 96852 and 96864?

Greatest common factor (GCF) of 96852 and 96864 is 12.

GCF(96852,96864) = 12

We will now calculate the prime factors of 96852 and 96864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96852 and 96864.

How to find the GCF of 96852 and 96864?

We will first find the prime factorization of 96852 and 96864. After we will calculate the factors of 96852 and 96864 and find the biggest common factor number .

Step-1: Prime Factorization of 96852

Prime factors of 96852 are 2, 3, 7, 1153. Prime factorization of 96852 in exponential form is:

96852 = 2² × 3¹ × 7¹ × 1153¹

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 96852

List of positive integer factors of 96852 that divides 96852 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 1153, 2306, 3459, 4612, 6918, 8071, 13836, 16142, 24213, 32284, 48426

Step-4: Factors of 96864

List of positive integer factors of 96864 that divides 96852 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 96852 and 96864. The biggest common factor number is the GCF number.
So the greatest common factor 96852 and 96864 is 12.

Also check out the Least Common Multiple of 96852 and 96864