What is the Greatest Common Factor of 19484 and 19490?

Greatest common factor (GCF) of 19484 and 19490 is 2.

GCF(19484,19490) = 2

We will now calculate the prime factors of 19484 and 19490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19484 and 19490.

How to find the GCF of 19484 and 19490?

We will first find the prime factorization of 19484 and 19490. After we will calculate the factors of 19484 and 19490 and find the biggest common factor number .

Step-1: Prime Factorization of 19484

Prime factors of 19484 are 2, 4871. Prime factorization of 19484 in exponential form is:

19484 = 2² × 4871¹

Step-2: Prime Factorization of 19490

Prime factors of 19490 are 2, 5, 1949. Prime factorization of 19490 in exponential form is:

19490 = 2¹ × 5¹ × 1949¹

Step-3: Factors of 19484

List of positive integer factors of 19484 that divides 19484 without a remainder.

1, 2, 4, 4871, 9742

Step-4: Factors of 19490

List of positive integer factors of 19490 that divides 19484 without a remainder.

1, 2, 5, 10, 1949, 3898, 9745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19484 and 19490. The biggest common factor number is the GCF number.
So the greatest common factor 19484 and 19490 is 2.

Also check out the Least Common Multiple of 19484 and 19490