What is the Greatest Common Factor of 19490 and 19508?

Greatest common factor (GCF) of 19490 and 19508 is 2.

GCF(19490,19508) = 2

We will now calculate the prime factors of 19490 and 19508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19490 and 19508.

How to find the GCF of 19490 and 19508?

We will first find the prime factorization of 19490 and 19508. After we will calculate the factors of 19490 and 19508 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 19508

Prime factors of 19508 are 2, 4877. Prime factorization of 19508 in exponential form is:

19508 = 2² × 4877¹

Step-3: Factors of 19490

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

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

Step-4: Factors of 19508

List of positive integer factors of 19508 that divides 19490 without a remainder.

1, 2, 4, 4877, 9754

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19490 and 19508. The biggest common factor number is the GCF number.
So the greatest common factor 19490 and 19508 is 2.

Also check out the Least Common Multiple of 19490 and 19508