What is the Greatest Common Factor of 19431 and 19440?

Greatest common factor (GCF) of 19431 and 19440 is 9.

GCF(19431,19440) = 9

We will now calculate the prime factors of 19431 and 19440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19431 and 19440.

How to find the GCF of 19431 and 19440?

We will first find the prime factorization of 19431 and 19440. After we will calculate the factors of 19431 and 19440 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 19440

Prime factors of 19440 are 2, 3, 5. Prime factorization of 19440 in exponential form is:

19440 = 2⁴ × 3⁵ × 5¹

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 19440

List of positive integer factors of 19440 that divides 19431 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 36, 40, 45, 48, 54, 60, 72, 80, 81, 90, 108, 120, 135, 144, 162, 180, 216, 240, 243, 270, 324, 360, 405, 432, 486, 540, 648, 720, 810, 972, 1080, 1215, 1296, 1620, 1944, 2160, 2430, 3240, 3888, 4860, 6480, 9720

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19431 and 19440. The biggest common factor number is the GCF number.
So the greatest common factor 19431 and 19440 is 9.

Also check out the Least Common Multiple of 19431 and 19440