What is the Greatest Common Factor of 19479 and 19485?

Greatest common factor (GCF) of 19479 and 19485 is 3.

GCF(19479,19485) = 3

We will now calculate the prime factors of 19479 and 19485, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19479 and 19485.

How to find the GCF of 19479 and 19485?

We will first find the prime factorization of 19479 and 19485. After we will calculate the factors of 19479 and 19485 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 19485

Prime factors of 19485 are 3, 5, 433. Prime factorization of 19485 in exponential form is:

19485 = 3² × 5¹ × 433¹

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 19485

List of positive integer factors of 19485 that divides 19479 without a remainder.

1, 3, 5, 9, 15, 45, 433, 1299, 2165, 3897, 6495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19479 and 19485. The biggest common factor number is the GCF number.
So the greatest common factor 19479 and 19485 is 3.

Also check out the Least Common Multiple of 19479 and 19485