What is the Greatest Common Factor of 40587 and 40596?

Greatest common factor (GCF) of 40587 and 40596 is 3.

GCF(40587,40596) = 3

We will now calculate the prime factors of 40587 and 40596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40587 and 40596.

How to find the GCF of 40587 and 40596?

We will first find the prime factorization of 40587 and 40596. After we will calculate the factors of 40587 and 40596 and find the biggest common factor number .

Step-1: Prime Factorization of 40587

Prime factors of 40587 are 3, 83, 163. Prime factorization of 40587 in exponential form is:

40587 = 3¹ × 83¹ × 163¹

Step-2: 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-3: Factors of 40587

List of positive integer factors of 40587 that divides 40587 without a remainder.

1, 3, 83, 163, 249, 489, 13529

Step-4: Factors of 40596

List of positive integer factors of 40596 that divides 40587 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40587 and 40596. The biggest common factor number is the GCF number.
So the greatest common factor 40587 and 40596 is 3.

Also check out the Least Common Multiple of 40587 and 40596