What is the Greatest Common Factor of 19331 and 19350?

Greatest common factor (GCF) of 19331 and 19350 is 1.

GCF(19331,19350) = 1

We will now calculate the prime factors of 19331 and 19350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19331 and 19350.

How to find the GCF of 19331 and 19350?

We will first find the prime factorization of 19331 and 19350. After we will calculate the factors of 19331 and 19350 and find the biggest common factor number .

Step-1: Prime Factorization of 19331

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

19331 = 13¹ × 1487¹

Step-2: Prime Factorization of 19350

Prime factors of 19350 are 2, 3, 5, 43. Prime factorization of 19350 in exponential form is:

19350 = 2¹ × 3² × 5² × 43¹

Step-3: Factors of 19331

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

1, 13, 1487

Step-4: Factors of 19350

List of positive integer factors of 19350 that divides 19331 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 43, 45, 50, 75, 86, 90, 129, 150, 215, 225, 258, 387, 430, 450, 645, 774, 1075, 1290, 1935, 2150, 3225, 3870, 6450, 9675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19331 and 19350. The biggest common factor number is the GCF number.
So the greatest common factor 19331 and 19350 is 1.

Also check out the Least Common Multiple of 19331 and 19350