What is the Greatest Common Factor of 19456 and 19472?

Greatest common factor (GCF) of 19456 and 19472 is 16.

GCF(19456,19472) = 16

We will now calculate the prime factors of 19456 and 19472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19456 and 19472.

How to find the GCF of 19456 and 19472?

We will first find the prime factorization of 19456 and 19472. After we will calculate the factors of 19456 and 19472 and find the biggest common factor number .

Step-1: Prime Factorization of 19456

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

19456 = 2¹⁰ × 19¹

Step-2: Prime Factorization of 19472

Prime factors of 19472 are 2, 1217. Prime factorization of 19472 in exponential form is:

19472 = 2⁴ × 1217¹

Step-3: Factors of 19456

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

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

Step-4: Factors of 19472

List of positive integer factors of 19472 that divides 19456 without a remainder.

1, 2, 4, 8, 16, 1217, 2434, 4868, 9736

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19456 and 19472. The biggest common factor number is the GCF number.
So the greatest common factor 19456 and 19472 is 16.

Also check out the Least Common Multiple of 19456 and 19472