What is the Greatest Common Factor of 15336 and 15342?

Greatest common factor (GCF) of 15336 and 15342 is 6.

GCF(15336,15342) = 6

We will now calculate the prime factors of 15336 and 15342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15336 and 15342.

How to find the GCF of 15336 and 15342?

We will first find the prime factorization of 15336 and 15342. After we will calculate the factors of 15336 and 15342 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 15342

Prime factors of 15342 are 2, 3, 2557. Prime factorization of 15342 in exponential form is:

15342 = 2¹ × 3¹ × 2557¹

Step-3: Factors of 15336

List of positive integer factors of 15336 that divides 15336 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

Step-4: Factors of 15342

List of positive integer factors of 15342 that divides 15336 without a remainder.

1, 2, 3, 6, 2557, 5114, 7671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15336 and 15342. The biggest common factor number is the GCF number.
So the greatest common factor 15336 and 15342 is 6.

Also check out the Least Common Multiple of 15336 and 15342