What is the Greatest Common Factor of 43815 and 43825?

Greatest common factor (GCF) of 43815 and 43825 is 5.

GCF(43815,43825) = 5

We will now calculate the prime factors of 43815 and 43825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43815 and 43825.

How to find the GCF of 43815 and 43825?

We will first find the prime factorization of 43815 and 43825. After we will calculate the factors of 43815 and 43825 and find the biggest common factor number .

Step-1: Prime Factorization of 43815

Prime factors of 43815 are 3, 5, 23, 127. Prime factorization of 43815 in exponential form is:

43815 = 3¹ × 5¹ × 23¹ × 127¹

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 43815

List of positive integer factors of 43815 that divides 43815 without a remainder.

1, 3, 5, 15, 23, 69, 115, 127, 345, 381, 635, 1905, 2921, 8763, 14605

Step-4: Factors of 43825

List of positive integer factors of 43825 that divides 43815 without a remainder.

1, 5, 25, 1753, 8765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43815 and 43825. The biggest common factor number is the GCF number.
So the greatest common factor 43815 and 43825 is 5.

Also check out the Least Common Multiple of 43815 and 43825