What is the Greatest Common Factor of 19479 and 19498?

Greatest common factor (GCF) of 19479 and 19498 is 1.

GCF(19479,19498) = 1

We will now calculate the prime factors of 19479 and 19498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19479 and 19498.

How to find the GCF of 19479 and 19498?

We will first find the prime factorization of 19479 and 19498. After we will calculate the factors of 19479 and 19498 and find the biggest common factor number .

Step-1: Prime Factorization of 19479

Prime factors of 19479 are 3, 43, 151. Prime factorization of 19479 in exponential form is:

19479 = 3¹ × 43¹ × 151¹

Step-2: Prime Factorization of 19498

Prime factors of 19498 are 2, 9749. Prime factorization of 19498 in exponential form is:

19498 = 2¹ × 9749¹

Step-3: Factors of 19479

List of positive integer factors of 19479 that divides 19479 without a remainder.

1, 3, 43, 129, 151, 453, 6493

Step-4: Factors of 19498

List of positive integer factors of 19498 that divides 19479 without a remainder.

1, 2, 9749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19479 and 19498. The biggest common factor number is the GCF number.
So the greatest common factor 19479 and 19498 is 1.

Also check out the Least Common Multiple of 19479 and 19498