What is the Greatest Common Factor of 15318 and 15336?

Greatest common factor (GCF) of 15318 and 15336 is 18.

GCF(15318,15336) = 18

We will now calculate the prime factors of 15318 and 15336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15318 and 15336.

How to find the GCF of 15318 and 15336?

We will first find the prime factorization of 15318 and 15336. After we will calculate the factors of 15318 and 15336 and find the biggest common factor number .

Step-1: Prime Factorization of 15318

Prime factors of 15318 are 2, 3, 23, 37. Prime factorization of 15318 in exponential form is:

15318 = 2¹ × 3² × 23¹ × 37¹

Step-2: Prime Factorization of 15336

Prime factors of 15336 are 2, 3, 71. Prime factorization of 15336 in exponential form is:

15336 = 2³ × 3³ × 71¹

Step-3: Factors of 15318

List of positive integer factors of 15318 that divides 15318 without a remainder.

1, 2, 3, 6, 9, 18, 23, 37, 46, 69, 74, 111, 138, 207, 222, 333, 414, 666, 851, 1702, 2553, 5106, 7659

Step-4: Factors of 15336

List of positive integer factors of 15336 that divides 15318 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 71, 72, 108, 142, 213, 216, 284, 426, 568, 639, 852, 1278, 1704, 1917, 2556, 3834, 5112, 7668

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15318 and 15336. The biggest common factor number is the GCF number.
So the greatest common factor 15318 and 15336 is 18.

Also check out the Least Common Multiple of 15318 and 15336