What is the Greatest Common Factor of 96852 and 96867?

Greatest common factor (GCF) of 96852 and 96867 is 3.

GCF(96852,96867) = 3

We will now calculate the prime factors of 96852 and 96867, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96852 and 96867.

How to find the GCF of 96852 and 96867?

We will first find the prime factorization of 96852 and 96867. After we will calculate the factors of 96852 and 96867 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 96867

Prime factors of 96867 are 3, 47, 229. Prime factorization of 96867 in exponential form is:

96867 = 3² × 47¹ × 229¹

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 96867

List of positive integer factors of 96867 that divides 96852 without a remainder.

1, 3, 9, 47, 141, 229, 423, 687, 2061, 10763, 32289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96852 and 96867. The biggest common factor number is the GCF number.
So the greatest common factor 96852 and 96867 is 3.

Also check out the Least Common Multiple of 96852 and 96867