What is the Greatest Common Factor of 96834 and 96852?

Greatest common factor (GCF) of 96834 and 96852 is 6.

GCF(96834,96852) = 6

We will now calculate the prime factors of 96834 and 96852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96834 and 96852.

How to find the GCF of 96834 and 96852?

We will first find the prime factorization of 96834 and 96852. After we will calculate the factors of 96834 and 96852 and find the biggest common factor number .

Step-1: Prime Factorization of 96834

Prime factors of 96834 are 2, 3, 16139. Prime factorization of 96834 in exponential form is:

96834 = 2¹ × 3¹ × 16139¹

Step-2: 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-3: Factors of 96834

List of positive integer factors of 96834 that divides 96834 without a remainder.

1, 2, 3, 6, 16139, 32278, 48417

Step-4: Factors of 96852

List of positive integer factors of 96852 that divides 96834 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96834 and 96852. The biggest common factor number is the GCF number.
So the greatest common factor 96834 and 96852 is 6.

Also check out the Least Common Multiple of 96834 and 96852