What is the Greatest Common Factor of 15369 and 15384?

Greatest common factor (GCF) of 15369 and 15384 is 3.

GCF(15369,15384) = 3

We will now calculate the prime factors of 15369 and 15384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15369 and 15384.

How to find the GCF of 15369 and 15384?

We will first find the prime factorization of 15369 and 15384. After we will calculate the factors of 15369 and 15384 and find the biggest common factor number .

Step-1: Prime Factorization of 15369

Prime factors of 15369 are 3, 47, 109. Prime factorization of 15369 in exponential form is:

15369 = 3¹ × 47¹ × 109¹

Step-2: Prime Factorization of 15384

Prime factors of 15384 are 2, 3, 641. Prime factorization of 15384 in exponential form is:

15384 = 2³ × 3¹ × 641¹

Step-3: Factors of 15369

List of positive integer factors of 15369 that divides 15369 without a remainder.

1, 3, 47, 109, 141, 327, 5123

Step-4: Factors of 15384

List of positive integer factors of 15384 that divides 15369 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 641, 1282, 1923, 2564, 3846, 5128, 7692

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15369 and 15384. The biggest common factor number is the GCF number.
So the greatest common factor 15369 and 15384 is 3.

Also check out the Least Common Multiple of 15369 and 15384