What is the Greatest Common Factor of 43355 and 43375?

Greatest common factor (GCF) of 43355 and 43375 is 5.

GCF(43355,43375) = 5

We will now calculate the prime factors of 43355 and 43375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43355 and 43375.

How to find the GCF of 43355 and 43375?

We will first find the prime factorization of 43355 and 43375. After we will calculate the factors of 43355 and 43375 and find the biggest common factor number .

Step-1: Prime Factorization of 43355

Prime factors of 43355 are 5, 13, 23, 29. Prime factorization of 43355 in exponential form is:

43355 = 5¹ × 13¹ × 23¹ × 29¹

Step-2: Prime Factorization of 43375

Prime factors of 43375 are 5, 347. Prime factorization of 43375 in exponential form is:

43375 = 5³ × 347¹

Step-3: Factors of 43355

List of positive integer factors of 43355 that divides 43355 without a remainder.

1, 5, 13, 23, 29, 65, 115, 145, 299, 377, 667, 1495, 1885, 3335, 8671

Step-4: Factors of 43375

List of positive integer factors of 43375 that divides 43355 without a remainder.

1, 5, 25, 125, 347, 1735, 8675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43355 and 43375. The biggest common factor number is the GCF number.
So the greatest common factor 43355 and 43375 is 5.

Also check out the Least Common Multiple of 43355 and 43375