What is the Greatest Common Factor of 19318 and 19331?

Greatest common factor (GCF) of 19318 and 19331 is 13.

GCF(19318,19331) = 13

We will now calculate the prime factors of 19318 and 19331, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19318 and 19331.

How to find the GCF of 19318 and 19331?

We will first find the prime factorization of 19318 and 19331. After we will calculate the factors of 19318 and 19331 and find the biggest common factor number .

Step-1: Prime Factorization of 19318

Prime factors of 19318 are 2, 13, 743. Prime factorization of 19318 in exponential form is:

19318 = 2¹ × 13¹ × 743¹

Step-2: Prime Factorization of 19331

Prime factors of 19331 are 13, 1487. Prime factorization of 19331 in exponential form is:

19331 = 13¹ × 1487¹

Step-3: Factors of 19318

List of positive integer factors of 19318 that divides 19318 without a remainder.

1, 2, 13, 26, 743, 1486, 9659

Step-4: Factors of 19331

List of positive integer factors of 19331 that divides 19318 without a remainder.

1, 13, 1487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19318 and 19331. The biggest common factor number is the GCF number.
So the greatest common factor 19318 and 19331 is 13.

Also check out the Least Common Multiple of 19318 and 19331