What is the Greatest Common Factor of 15384 and 15403?

Greatest common factor (GCF) of 15384 and 15403 is 1.

GCF(15384,15403) = 1

We will now calculate the prime factors of 15384 and 15403, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15384 and 15403.

How to find the GCF of 15384 and 15403?

We will first find the prime factorization of 15384 and 15403. After we will calculate the factors of 15384 and 15403 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 15403

Prime factors of 15403 are 73, 211. Prime factorization of 15403 in exponential form is:

15403 = 73¹ × 211¹

Step-3: Factors of 15384

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

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

Step-4: Factors of 15403

List of positive integer factors of 15403 that divides 15384 without a remainder.

1, 73, 211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15384 and 15403. The biggest common factor number is the GCF number.
So the greatest common factor 15384 and 15403 is 1.

Also check out the Least Common Multiple of 15384 and 15403