What is the Greatest Common Factor of 15314 and 15318?

Greatest common factor (GCF) of 15314 and 15318 is 2.

GCF(15314,15318) = 2

We will now calculate the prime factors of 15314 and 15318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15314 and 15318.

How to find the GCF of 15314 and 15318?

We will first find the prime factorization of 15314 and 15318. After we will calculate the factors of 15314 and 15318 and find the biggest common factor number .

Step-1: Prime Factorization of 15314

Prime factors of 15314 are 2, 13, 19, 31. Prime factorization of 15314 in exponential form is:

15314 = 2¹ × 13¹ × 19¹ × 31¹

Step-2: Prime Factorization of 15318

Prime factors of 15318 are 2, 3, 23, 37. Prime factorization of 15318 in exponential form is:

15318 = 2¹ × 3² × 23¹ × 37¹

Step-3: Factors of 15314

List of positive integer factors of 15314 that divides 15314 without a remainder.

1, 2, 13, 19, 26, 31, 38, 62, 247, 403, 494, 589, 806, 1178, 7657

Step-4: Factors of 15318

List of positive integer factors of 15318 that divides 15314 without a remainder.

1, 2, 3, 6, 9, 18, 23, 37, 46, 69, 74, 111, 138, 207, 222, 333, 414, 666, 851, 1702, 2553, 5106, 7659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15314 and 15318. The biggest common factor number is the GCF number.
So the greatest common factor 15314 and 15318 is 2.

Also check out the Least Common Multiple of 15314 and 15318