What is the Greatest Common Factor of 19486 and 19504?

Greatest common factor (GCF) of 19486 and 19504 is 2.

GCF(19486,19504) = 2

We will now calculate the prime factors of 19486 and 19504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19486 and 19504.

How to find the GCF of 19486 and 19504?

We will first find the prime factorization of 19486 and 19504. After we will calculate the factors of 19486 and 19504 and find the biggest common factor number .

Step-1: Prime Factorization of 19486

Prime factors of 19486 are 2, 9743. Prime factorization of 19486 in exponential form is:

19486 = 2¹ × 9743¹

Step-2: Prime Factorization of 19504

Prime factors of 19504 are 2, 23, 53. Prime factorization of 19504 in exponential form is:

19504 = 2⁴ × 23¹ × 53¹

Step-3: Factors of 19486

List of positive integer factors of 19486 that divides 19486 without a remainder.

1, 2, 9743

Step-4: Factors of 19504

List of positive integer factors of 19504 that divides 19486 without a remainder.

1, 2, 4, 8, 16, 23, 46, 53, 92, 106, 184, 212, 368, 424, 848, 1219, 2438, 4876, 9752

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19486 and 19504. The biggest common factor number is the GCF number.
So the greatest common factor 19486 and 19504 is 2.

Also check out the Least Common Multiple of 19486 and 19504