What is the Greatest Common Factor of 43804 and 43808?

Greatest common factor (GCF) of 43804 and 43808 is 4.

GCF(43804,43808) = 4

We will now calculate the prime factors of 43804 and 43808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43804 and 43808.

How to find the GCF of 43804 and 43808?

We will first find the prime factorization of 43804 and 43808. After we will calculate the factors of 43804 and 43808 and find the biggest common factor number .

Step-1: Prime Factorization of 43804

Prime factors of 43804 are 2, 47, 233. Prime factorization of 43804 in exponential form is:

43804 = 2² × 47¹ × 233¹

Step-2: Prime Factorization of 43808

Prime factors of 43808 are 2, 37. Prime factorization of 43808 in exponential form is:

43808 = 2⁵ × 37²

Step-3: Factors of 43804

List of positive integer factors of 43804 that divides 43804 without a remainder.

1, 2, 4, 47, 94, 188, 233, 466, 932, 10951, 21902

Step-4: Factors of 43808

List of positive integer factors of 43808 that divides 43804 without a remainder.

1, 2, 4, 8, 16, 32, 37, 74, 148, 296, 592, 1184, 1369, 2738, 5476, 10952, 21904

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43804 and 43808. The biggest common factor number is the GCF number.
So the greatest common factor 43804 and 43808 is 4.

Also check out the Least Common Multiple of 43804 and 43808