What is the Greatest Common Factor of 96324 and 96336?

Greatest common factor (GCF) of 96324 and 96336 is 12.

GCF(96324,96336) = 12

We will now calculate the prime factors of 96324 and 96336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96324 and 96336.

How to find the GCF of 96324 and 96336?

We will first find the prime factorization of 96324 and 96336. After we will calculate the factors of 96324 and 96336 and find the biggest common factor number .

Step-1: Prime Factorization of 96324

Prime factors of 96324 are 2, 3, 23, 349. Prime factorization of 96324 in exponential form is:

96324 = 2² × 3¹ × 23¹ × 349¹

Step-2: Prime Factorization of 96336

Prime factors of 96336 are 2, 3, 223. Prime factorization of 96336 in exponential form is:

96336 = 2⁴ × 3³ × 223¹

Step-3: Factors of 96324

List of positive integer factors of 96324 that divides 96324 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276, 349, 698, 1047, 1396, 2094, 4188, 8027, 16054, 24081, 32108, 48162

Step-4: Factors of 96336

List of positive integer factors of 96336 that divides 96324 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 223, 432, 446, 669, 892, 1338, 1784, 2007, 2676, 3568, 4014, 5352, 6021, 8028, 10704, 12042, 16056, 24084, 32112, 48168

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96324 and 96336. The biggest common factor number is the GCF number.
So the greatest common factor 96324 and 96336 is 12.

Also check out the Least Common Multiple of 96324 and 96336