What is the Greatest Common Factor of 19464 and 19479?

Greatest common factor (GCF) of 19464 and 19479 is 3.

GCF(19464,19479) = 3

We will now calculate the prime factors of 19464 and 19479, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19464 and 19479.

How to find the GCF of 19464 and 19479?

We will first find the prime factorization of 19464 and 19479. After we will calculate the factors of 19464 and 19479 and find the biggest common factor number .

Step-1: Prime Factorization of 19464

Prime factors of 19464 are 2, 3, 811. Prime factorization of 19464 in exponential form is:

19464 = 2³ × 3¹ × 811¹

Step-2: 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-3: Factors of 19464

List of positive integer factors of 19464 that divides 19464 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 811, 1622, 2433, 3244, 4866, 6488, 9732

Step-4: Factors of 19479

List of positive integer factors of 19479 that divides 19464 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19464 and 19479. The biggest common factor number is the GCF number.
So the greatest common factor 19464 and 19479 is 3.

Also check out the Least Common Multiple of 19464 and 19479