What is the Greatest Common Factor of 19475 and 19489?

Greatest common factor (GCF) of 19475 and 19489 is 1.

GCF(19475,19489) = 1

We will now calculate the prime factors of 19475 and 19489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19475 and 19489.

How to find the GCF of 19475 and 19489?

We will first find the prime factorization of 19475 and 19489. After we will calculate the factors of 19475 and 19489 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 19489

Prime factors of 19489 are 19489. Prime factorization of 19489 in exponential form is:

19489 = 19489¹

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 19489

List of positive integer factors of 19489 that divides 19475 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19475 and 19489. The biggest common factor number is the GCF number.
So the greatest common factor 19475 and 19489 is 1.

Also check out the Least Common Multiple of 19475 and 19489