What is the Greatest Common Factor of 40596 and 40605?

Greatest common factor (GCF) of 40596 and 40605 is 3.

GCF(40596,40605) = 3

We will now calculate the prime factors of 40596 and 40605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40596 and 40605.

How to find the GCF of 40596 and 40605?

We will first find the prime factorization of 40596 and 40605. After we will calculate the factors of 40596 and 40605 and find the biggest common factor number .

Step-1: Prime Factorization of 40596

Prime factors of 40596 are 2, 3, 17, 199. Prime factorization of 40596 in exponential form is:

40596 = 2² × 3¹ × 17¹ × 199¹

Step-2: Prime Factorization of 40605

Prime factors of 40605 are 3, 5, 2707. Prime factorization of 40605 in exponential form is:

40605 = 3¹ × 5¹ × 2707¹

Step-3: Factors of 40596

List of positive integer factors of 40596 that divides 40596 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 199, 204, 398, 597, 796, 1194, 2388, 3383, 6766, 10149, 13532, 20298

Step-4: Factors of 40605

List of positive integer factors of 40605 that divides 40596 without a remainder.

1, 3, 5, 15, 2707, 8121, 13535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40596 and 40605. The biggest common factor number is the GCF number.
So the greatest common factor 40596 and 40605 is 3.

Also check out the Least Common Multiple of 40596 and 40605