What is the Greatest Common Factor of 43365 and 43371?

Greatest common factor (GCF) of 43365 and 43371 is 3.

GCF(43365,43371) = 3

We will now calculate the prime factors of 43365 and 43371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43365 and 43371.

How to find the GCF of 43365 and 43371?

We will first find the prime factorization of 43365 and 43371. After we will calculate the factors of 43365 and 43371 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43371

Prime factors of 43371 are 3, 61, 79. Prime factorization of 43371 in exponential form is:

43371 = 3² × 61¹ × 79¹

Step-3: Factors of 43365

List of positive integer factors of 43365 that divides 43365 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

Step-4: Factors of 43371

List of positive integer factors of 43371 that divides 43365 without a remainder.

1, 3, 9, 61, 79, 183, 237, 549, 711, 4819, 14457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43365 and 43371. The biggest common factor number is the GCF number.
So the greatest common factor 43365 and 43371 is 3.

Also check out the Least Common Multiple of 43365 and 43371