What is the Greatest Common Factor of 19440 and 19458?

Greatest common factor (GCF) of 19440 and 19458 is 18.

GCF(19440,19458) = 18

We will now calculate the prime factors of 19440 and 19458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19440 and 19458.

How to find the GCF of 19440 and 19458?

We will first find the prime factorization of 19440 and 19458. After we will calculate the factors of 19440 and 19458 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 19458

Prime factors of 19458 are 2, 3, 23, 47. Prime factorization of 19458 in exponential form is:

19458 = 2¹ × 3² × 23¹ × 47¹

Step-3: Factors of 19440

List of positive integer factors of 19440 that divides 19440 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

Step-4: Factors of 19458

List of positive integer factors of 19458 that divides 19440 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 47, 69, 94, 138, 141, 207, 282, 414, 423, 846, 1081, 2162, 3243, 6486, 9729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19440 and 19458. The biggest common factor number is the GCF number.
So the greatest common factor 19440 and 19458 is 18.

Also check out the Least Common Multiple of 19440 and 19458