What is the Greatest Common Factor of 43359 and 43365?

Greatest common factor (GCF) of 43359 and 43365 is 3.

GCF(43359,43365) = 3

We will now calculate the prime factors of 43359 and 43365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43359 and 43365.

How to find the GCF of 43359 and 43365?

We will first find the prime factorization of 43359 and 43365. After we will calculate the factors of 43359 and 43365 and find the biggest common factor number .

Step-1: Prime Factorization of 43359

Prime factors of 43359 are 3, 97, 149. Prime factorization of 43359 in exponential form is:

43359 = 3¹ × 97¹ × 149¹

Step-2: Prime Factorization of 43365

Prime factors of 43365 are 3, 5, 7, 59. Prime factorization of 43365 in exponential form is:

43365 = 3¹ × 5¹ × 7² × 59¹

Step-3: Factors of 43359

List of positive integer factors of 43359 that divides 43359 without a remainder.

1, 3, 97, 149, 291, 447, 14453

Step-4: Factors of 43365

List of positive integer factors of 43365 that divides 43359 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 59, 105, 147, 177, 245, 295, 413, 735, 885, 1239, 2065, 2891, 6195, 8673, 14455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43359 and 43365. The biggest common factor number is the GCF number.
So the greatest common factor 43359 and 43365 is 3.

Also check out the Least Common Multiple of 43359 and 43365