What is the Greatest Common Factor of 43084 and 43104?

Greatest common factor (GCF) of 43084 and 43104 is 4.

GCF(43084,43104) = 4

We will now calculate the prime factors of 43084 and 43104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43084 and 43104.

How to find the GCF of 43084 and 43104?

We will first find the prime factorization of 43084 and 43104. After we will calculate the factors of 43084 and 43104 and find the biggest common factor number .

Step-1: Prime Factorization of 43084

Prime factors of 43084 are 2, 10771. Prime factorization of 43084 in exponential form is:

43084 = 2² × 10771¹

Step-2: 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-3: Factors of 43084

List of positive integer factors of 43084 that divides 43084 without a remainder.

1, 2, 4, 10771, 21542

Step-4: Factors of 43104

List of positive integer factors of 43104 that divides 43084 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43084 and 43104. The biggest common factor number is the GCF number.
So the greatest common factor 43084 and 43104 is 4.

Also check out the Least Common Multiple of 43084 and 43104