What is the Greatest Common Factor of 15382 and 15398?

Greatest common factor (GCF) of 15382 and 15398 is 2.

GCF(15382,15398) = 2

We will now calculate the prime factors of 15382 and 15398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15382 and 15398.

How to find the GCF of 15382 and 15398?

We will first find the prime factorization of 15382 and 15398. After we will calculate the factors of 15382 and 15398 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 15398

Prime factors of 15398 are 2, 7699. Prime factorization of 15398 in exponential form is:

15398 = 2¹ × 7699¹

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 15398

List of positive integer factors of 15398 that divides 15382 without a remainder.

1, 2, 7699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15382 and 15398. The biggest common factor number is the GCF number.
So the greatest common factor 15382 and 15398 is 2.

Also check out the Least Common Multiple of 15382 and 15398