What is the Greatest Common Factor of 96336 and 96354?

Greatest common factor (GCF) of 96336 and 96354 is 18.

GCF(96336,96354) = 18

We will now calculate the prime factors of 96336 and 96354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96336 and 96354.

How to find the GCF of 96336 and 96354?

We will first find the prime factorization of 96336 and 96354. After we will calculate the factors of 96336 and 96354 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 96354

Prime factors of 96354 are 2, 3, 53, 101. Prime factorization of 96354 in exponential form is:

96354 = 2¹ × 3² × 53¹ × 101¹

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 96354

List of positive integer factors of 96354 that divides 96336 without a remainder.

1, 2, 3, 6, 9, 18, 53, 101, 106, 159, 202, 303, 318, 477, 606, 909, 954, 1818, 5353, 10706, 16059, 32118, 48177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96336 and 96354. The biggest common factor number is the GCF number.
So the greatest common factor 96336 and 96354 is 18.

Also check out the Least Common Multiple of 96336 and 96354