What is the Greatest Common Factor of 19475 and 19490?

Greatest common factor (GCF) of 19475 and 19490 is 5.

GCF(19475,19490) = 5

We will now calculate the prime factors of 19475 and 19490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19475 and 19490.

How to find the GCF of 19475 and 19490?

We will first find the prime factorization of 19475 and 19490. After we will calculate the factors of 19475 and 19490 and find the biggest common factor number .

Step-1: Prime Factorization of 19475

Prime factors of 19475 are 5, 19, 41. Prime factorization of 19475 in exponential form is:

19475 = 5² × 19¹ × 41¹

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 19475

List of positive integer factors of 19475 that divides 19475 without a remainder.

1, 5, 19, 25, 41, 95, 205, 475, 779, 1025, 3895

Step-4: Factors of 19490

List of positive integer factors of 19490 that divides 19475 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19475 and 19490. The biggest common factor number is the GCF number.
So the greatest common factor 19475 and 19490 is 5.

Also check out the Least Common Multiple of 19475 and 19490