What is the Greatest Common Factor of 43808 and 43825?

Greatest common factor (GCF) of 43808 and 43825 is 1.

GCF(43808,43825) = 1

We will now calculate the prime factors of 43808 and 43825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43808 and 43825.

How to find the GCF of 43808 and 43825?

We will first find the prime factorization of 43808 and 43825. After we will calculate the factors of 43808 and 43825 and find the biggest common factor number .

Step-1: Prime Factorization of 43808

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

43808 = 2⁵ × 37²

Step-2: Prime Factorization of 43825

Prime factors of 43825 are 5, 1753. Prime factorization of 43825 in exponential form is:

43825 = 5² × 1753¹

Step-3: Factors of 43808

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

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

Step-4: Factors of 43825

List of positive integer factors of 43825 that divides 43808 without a remainder.

1, 5, 25, 1753, 8765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43808 and 43825. The biggest common factor number is the GCF number.
So the greatest common factor 43808 and 43825 is 1.

Also check out the Least Common Multiple of 43808 and 43825