What is the Greatest Common Factor of 19440 and 19456?

Greatest common factor (GCF) of 19440 and 19456 is 16.

GCF(19440,19456) = 16

We will now calculate the prime factors of 19440 and 19456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19440 and 19456.

How to find the GCF of 19440 and 19456?

We will first find the prime factorization of 19440 and 19456. After we will calculate the factors of 19440 and 19456 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 19456

Prime factors of 19456 are 2, 19. Prime factorization of 19456 in exponential form is:

19456 = 2¹⁰ × 19¹

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 19456

List of positive integer factors of 19456 that divides 19440 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 128, 152, 256, 304, 512, 608, 1024, 1216, 2432, 4864, 9728

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19440 and 19456. The biggest common factor number is the GCF number.
So the greatest common factor 19440 and 19456 is 16.

Also check out the Least Common Multiple of 19440 and 19456