What is the Greatest Common Factor of 43104 and 43119?

Greatest common factor (GCF) of 43104 and 43119 is 3.

GCF(43104,43119) = 3

We will now calculate the prime factors of 43104 and 43119, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43104 and 43119.

How to find the GCF of 43104 and 43119?

We will first find the prime factorization of 43104 and 43119. After we will calculate the factors of 43104 and 43119 and find the biggest common factor number .

Step-1: Prime Factorization of 43104

Prime factors of 43104 are 2, 3, 449. Prime factorization of 43104 in exponential form is:

43104 = 2⁵ × 3¹ × 449¹

Step-2: Prime Factorization of 43119

Prime factors of 43119 are 3, 1597. Prime factorization of 43119 in exponential form is:

43119 = 3³ × 1597¹

Step-3: Factors of 43104

List of positive integer factors of 43104 that divides 43104 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 449, 898, 1347, 1796, 2694, 3592, 5388, 7184, 10776, 14368, 21552

Step-4: Factors of 43119

List of positive integer factors of 43119 that divides 43104 without a remainder.

1, 3, 9, 27, 1597, 4791, 14373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43104 and 43119. The biggest common factor number is the GCF number.
So the greatest common factor 43104 and 43119 is 3.

Also check out the Least Common Multiple of 43104 and 43119