What is the Greatest Common Factor of 40845 and 40863?

Greatest common factor (GCF) of 40845 and 40863 is 3.

GCF(40845,40863) = 3

We will now calculate the prime factors of 40845 and 40863, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40845 and 40863.

How to find the GCF of 40845 and 40863?

We will first find the prime factorization of 40845 and 40863. After we will calculate the factors of 40845 and 40863 and find the biggest common factor number .

Step-1: Prime Factorization of 40845

Prime factors of 40845 are 3, 5, 7, 389. Prime factorization of 40845 in exponential form is:

40845 = 3¹ × 5¹ × 7¹ × 389¹

Step-2: Prime Factorization of 40863

Prime factors of 40863 are 3, 53, 257. Prime factorization of 40863 in exponential form is:

40863 = 3¹ × 53¹ × 257¹

Step-3: Factors of 40845

List of positive integer factors of 40845 that divides 40845 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 389, 1167, 1945, 2723, 5835, 8169, 13615

Step-4: Factors of 40863

List of positive integer factors of 40863 that divides 40845 without a remainder.

1, 3, 53, 159, 257, 771, 13621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40845 and 40863. The biggest common factor number is the GCF number.
So the greatest common factor 40845 and 40863 is 3.

Also check out the Least Common Multiple of 40845 and 40863