What is the Greatest Common Factor of 19431 and 19446?

Greatest common factor (GCF) of 19431 and 19446 is 3.

GCF(19431,19446) = 3

We will now calculate the prime factors of 19431 and 19446, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19431 and 19446.

How to find the GCF of 19431 and 19446?

We will first find the prime factorization of 19431 and 19446. After we will calculate the factors of 19431 and 19446 and find the biggest common factor number .

Step-1: Prime Factorization of 19431

Prime factors of 19431 are 3, 17, 127. Prime factorization of 19431 in exponential form is:

19431 = 3² × 17¹ × 127¹

Step-2: Prime Factorization of 19446

Prime factors of 19446 are 2, 3, 7, 463. Prime factorization of 19446 in exponential form is:

19446 = 2¹ × 3¹ × 7¹ × 463¹

Step-3: Factors of 19431

List of positive integer factors of 19431 that divides 19431 without a remainder.

1, 3, 9, 17, 51, 127, 153, 381, 1143, 2159, 6477

Step-4: Factors of 19446

List of positive integer factors of 19446 that divides 19431 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 463, 926, 1389, 2778, 3241, 6482, 9723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19431 and 19446. The biggest common factor number is the GCF number.
So the greatest common factor 19431 and 19446 is 3.

Also check out the Least Common Multiple of 19431 and 19446