What is the Greatest Common Factor of 15303 and 15314?

Greatest common factor (GCF) of 15303 and 15314 is 1.

GCF(15303,15314) = 1

We will now calculate the prime factors of 15303 and 15314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15303 and 15314.

How to find the GCF of 15303 and 15314?

We will first find the prime factorization of 15303 and 15314. After we will calculate the factors of 15303 and 15314 and find the biggest common factor number .

Step-1: Prime Factorization of 15303

Prime factors of 15303 are 3, 5101. Prime factorization of 15303 in exponential form is:

15303 = 3¹ × 5101¹

Step-2: 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-3: Factors of 15303

List of positive integer factors of 15303 that divides 15303 without a remainder.

1, 3, 5101

Step-4: Factors of 15314

List of positive integer factors of 15314 that divides 15303 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15303 and 15314. The biggest common factor number is the GCF number.
So the greatest common factor 15303 and 15314 is 1.

Also check out the Least Common Multiple of 15303 and 15314