What is the Greatest Common Factor of 96336 and 96356?

Greatest common factor (GCF) of 96336 and 96356 is 4.

GCF(96336,96356) = 4

We will now calculate the prime factors of 96336 and 96356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96336 and 96356.

How to find the GCF of 96336 and 96356?

We will first find the prime factorization of 96336 and 96356. After we will calculate the factors of 96336 and 96356 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96356

Prime factors of 96356 are 2, 13, 17, 109. Prime factorization of 96356 in exponential form is:

96356 = 2² × 13¹ × 17¹ × 109¹

Step-3: Factors of 96336

List of positive integer factors of 96336 that divides 96336 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

Step-4: Factors of 96356

List of positive integer factors of 96356 that divides 96336 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 109, 218, 221, 436, 442, 884, 1417, 1853, 2834, 3706, 5668, 7412, 24089, 48178

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96336 and 96356. The biggest common factor number is the GCF number.
So the greatest common factor 96336 and 96356 is 4.

Also check out the Least Common Multiple of 96336 and 96356