What is the Greatest Common Factor of 15382 and 15388?

Greatest common factor (GCF) of 15382 and 15388 is 2.

GCF(15382,15388) = 2

We will now calculate the prime factors of 15382 and 15388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15382 and 15388.

How to find the GCF of 15382 and 15388?

We will first find the prime factorization of 15382 and 15388. After we will calculate the factors of 15382 and 15388 and find the biggest common factor number .

Step-1: Prime Factorization of 15382

Prime factors of 15382 are 2, 7691. Prime factorization of 15382 in exponential form is:

15382 = 2¹ × 7691¹

Step-2: Prime Factorization of 15388

Prime factors of 15388 are 2, 3847. Prime factorization of 15388 in exponential form is:

15388 = 2² × 3847¹

Step-3: Factors of 15382

List of positive integer factors of 15382 that divides 15382 without a remainder.

1, 2, 7691

Step-4: Factors of 15388

List of positive integer factors of 15388 that divides 15382 without a remainder.

1, 2, 4, 3847, 7694

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15382 and 15388. The biggest common factor number is the GCF number.
So the greatest common factor 15382 and 15388 is 2.

Also check out the Least Common Multiple of 15382 and 15388