What is the Greatest Common Factor of 96348 and 96366?

Greatest common factor (GCF) of 96348 and 96366 is 6.

GCF(96348,96366) = 6

We will now calculate the prime factors of 96348 and 96366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96348 and 96366.

How to find the GCF of 96348 and 96366?

We will first find the prime factorization of 96348 and 96366. After we will calculate the factors of 96348 and 96366 and find the biggest common factor number .

Step-1: Prime Factorization of 96348

Prime factors of 96348 are 2, 3, 7, 31, 37. Prime factorization of 96348 in exponential form is:

96348 = 2² × 3¹ × 7¹ × 31¹ × 37¹

Step-2: Prime Factorization of 96366

Prime factors of 96366 are 2, 3, 16061. Prime factorization of 96366 in exponential form is:

96366 = 2¹ × 3¹ × 16061¹

Step-3: Factors of 96348

List of positive integer factors of 96348 that divides 96348 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 31, 37, 42, 62, 74, 84, 93, 111, 124, 148, 186, 217, 222, 259, 372, 434, 444, 518, 651, 777, 868, 1036, 1147, 1302, 1554, 2294, 2604, 3108, 3441, 4588, 6882, 8029, 13764, 16058, 24087, 32116, 48174

Step-4: Factors of 96366

List of positive integer factors of 96366 that divides 96348 without a remainder.

1, 2, 3, 6, 16061, 32122, 48183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96348 and 96366. The biggest common factor number is the GCF number.
So the greatest common factor 96348 and 96366 is 6.

Also check out the Least Common Multiple of 96348 and 96366