What is the Greatest Common Factor of 15321 and 15336?

Greatest common factor (GCF) of 15321 and 15336 is 3.

GCF(15321,15336) = 3

We will now calculate the prime factors of 15321 and 15336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15321 and 15336.

How to find the GCF of 15321 and 15336?

We will first find the prime factorization of 15321 and 15336. After we will calculate the factors of 15321 and 15336 and find the biggest common factor number .

Step-1: Prime Factorization of 15321

Prime factors of 15321 are 3, 5107. Prime factorization of 15321 in exponential form is:

15321 = 3¹ × 5107¹

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 15321

List of positive integer factors of 15321 that divides 15321 without a remainder.

1, 3, 5107

Step-4: Factors of 15336

List of positive integer factors of 15336 that divides 15321 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 15321 and 15336. The biggest common factor number is the GCF number.
So the greatest common factor 15321 and 15336 is 3.

Also check out the Least Common Multiple of 15321 and 15336