What is the Greatest Common Factor of 43795 and 43815?

Greatest common factor (GCF) of 43795 and 43815 is 5.

GCF(43795,43815) = 5

We will now calculate the prime factors of 43795 and 43815, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43795 and 43815.

How to find the GCF of 43795 and 43815?

We will first find the prime factorization of 43795 and 43815. After we will calculate the factors of 43795 and 43815 and find the biggest common factor number .

Step-1: Prime Factorization of 43795

Prime factors of 43795 are 5, 19, 461. Prime factorization of 43795 in exponential form is:

43795 = 5¹ × 19¹ × 461¹

Step-2: 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-3: Factors of 43795

List of positive integer factors of 43795 that divides 43795 without a remainder.

1, 5, 19, 95, 461, 2305, 8759

Step-4: Factors of 43815

List of positive integer factors of 43815 that divides 43795 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43795 and 43815. The biggest common factor number is the GCF number.
So the greatest common factor 43795 and 43815 is 5.

Also check out the Least Common Multiple of 43795 and 43815