What is the Greatest Common Factor of 19475 and 19494?

Greatest common factor (GCF) of 19475 and 19494 is 19.

GCF(19475,19494) = 19

We will now calculate the prime factors of 19475 and 19494, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19475 and 19494.

How to find the GCF of 19475 and 19494?

We will first find the prime factorization of 19475 and 19494. After we will calculate the factors of 19475 and 19494 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 19494

Prime factors of 19494 are 2, 3, 19. Prime factorization of 19494 in exponential form is:

19494 = 2¹ × 3³ × 19²

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 19494

List of positive integer factors of 19494 that divides 19475 without a remainder.

1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 114, 171, 342, 361, 513, 722, 1026, 1083, 2166, 3249, 6498, 9747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19475 and 19494. The biggest common factor number is the GCF number.
So the greatest common factor 19475 and 19494 is 19.

Also check out the Least Common Multiple of 19475 and 19494