What is the Greatest Common Factor of 40365 and 40371?

Greatest common factor (GCF) of 40365 and 40371 is 3.

GCF(40365,40371) = 3

We will now calculate the prime factors of 40365 and 40371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40365 and 40371.

How to find the GCF of 40365 and 40371?

We will first find the prime factorization of 40365 and 40371. After we will calculate the factors of 40365 and 40371 and find the biggest common factor number .

Step-1: Prime Factorization of 40365

Prime factors of 40365 are 3, 5, 13, 23. Prime factorization of 40365 in exponential form is:

40365 = 3³ × 5¹ × 13¹ × 23¹

Step-2: Prime Factorization of 40371

Prime factors of 40371 are 3, 13457. Prime factorization of 40371 in exponential form is:

40371 = 3¹ × 13457¹

Step-3: Factors of 40365

List of positive integer factors of 40365 that divides 40365 without a remainder.

1, 3, 5, 9, 13, 15, 23, 27, 39, 45, 65, 69, 115, 117, 135, 195, 207, 299, 345, 351, 585, 621, 897, 1035, 1495, 1755, 2691, 3105, 4485, 8073, 13455

Step-4: Factors of 40371

List of positive integer factors of 40371 that divides 40365 without a remainder.

1, 3, 13457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40365 and 40371. The biggest common factor number is the GCF number.
So the greatest common factor 40365 and 40371 is 3.

Also check out the Least Common Multiple of 40365 and 40371