What is the Greatest Common Factor of 19472 and 19478?

Greatest common factor (GCF) of 19472 and 19478 is 2.

GCF(19472,19478) = 2

We will now calculate the prime factors of 19472 and 19478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19472 and 19478.

How to find the GCF of 19472 and 19478?

We will first find the prime factorization of 19472 and 19478. After we will calculate the factors of 19472 and 19478 and find the biggest common factor number .

Step-1: Prime Factorization of 19472

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

19472 = 2⁴ × 1217¹

Step-2: Prime Factorization of 19478

Prime factors of 19478 are 2, 9739. Prime factorization of 19478 in exponential form is:

19478 = 2¹ × 9739¹

Step-3: Factors of 19472

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

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

Step-4: Factors of 19478

List of positive integer factors of 19478 that divides 19472 without a remainder.

1, 2, 9739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19472 and 19478. The biggest common factor number is the GCF number.
So the greatest common factor 19472 and 19478 is 2.

Also check out the Least Common Multiple of 19472 and 19478