What is the Greatest Common Factor of 19449 and 19464?

Greatest common factor (GCF) of 19449 and 19464 is 3.

GCF(19449,19464) = 3

We will now calculate the prime factors of 19449 and 19464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19449 and 19464.

How to find the GCF of 19449 and 19464?

We will first find the prime factorization of 19449 and 19464. After we will calculate the factors of 19449 and 19464 and find the biggest common factor number .

Step-1: Prime Factorization of 19449

Prime factors of 19449 are 3, 2161. Prime factorization of 19449 in exponential form is:

19449 = 3² × 2161¹

Step-2: 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-3: Factors of 19449

List of positive integer factors of 19449 that divides 19449 without a remainder.

1, 3, 9, 2161, 6483

Step-4: Factors of 19464

List of positive integer factors of 19464 that divides 19449 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19449 and 19464. The biggest common factor number is the GCF number.
So the greatest common factor 19449 and 19464 is 3.

Also check out the Least Common Multiple of 19449 and 19464