What is the Greatest Common Factor of 15396 and 15414?

Greatest common factor (GCF) of 15396 and 15414 is 6.

GCF(15396,15414) = 6

We will now calculate the prime factors of 15396 and 15414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15396 and 15414.

How to find the GCF of 15396 and 15414?

We will first find the prime factorization of 15396 and 15414. After we will calculate the factors of 15396 and 15414 and find the biggest common factor number .

Step-1: Prime Factorization of 15396

Prime factors of 15396 are 2, 3, 1283. Prime factorization of 15396 in exponential form is:

15396 = 2² × 3¹ × 1283¹

Step-2: Prime Factorization of 15414

Prime factors of 15414 are 2, 3, 7, 367. Prime factorization of 15414 in exponential form is:

15414 = 2¹ × 3¹ × 7¹ × 367¹

Step-3: Factors of 15396

List of positive integer factors of 15396 that divides 15396 without a remainder.

1, 2, 3, 4, 6, 12, 1283, 2566, 3849, 5132, 7698

Step-4: Factors of 15414

List of positive integer factors of 15414 that divides 15396 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 367, 734, 1101, 2202, 2569, 5138, 7707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15396 and 15414. The biggest common factor number is the GCF number.
So the greatest common factor 15396 and 15414 is 6.

Also check out the Least Common Multiple of 15396 and 15414