What is the Greatest Common Factor of 40586 and 40600?

Greatest common factor (GCF) of 40586 and 40600 is 14.

GCF(40586,40600) = 14

We will now calculate the prime factors of 40586 and 40600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40586 and 40600.

How to find the GCF of 40586 and 40600?

We will first find the prime factorization of 40586 and 40600. After we will calculate the factors of 40586 and 40600 and find the biggest common factor number .

Step-1: Prime Factorization of 40586

Prime factors of 40586 are 2, 7, 13, 223. Prime factorization of 40586 in exponential form is:

40586 = 2¹ × 7¹ × 13¹ × 223¹

Step-2: Prime Factorization of 40600

Prime factors of 40600 are 2, 5, 7, 29. Prime factorization of 40600 in exponential form is:

40600 = 2³ × 5² × 7¹ × 29¹

Step-3: Factors of 40586

List of positive integer factors of 40586 that divides 40586 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 223, 446, 1561, 2899, 3122, 5798, 20293

Step-4: Factors of 40600

List of positive integer factors of 40600 that divides 40586 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 29, 35, 40, 50, 56, 58, 70, 100, 116, 140, 145, 175, 200, 203, 232, 280, 290, 350, 406, 580, 700, 725, 812, 1015, 1160, 1400, 1450, 1624, 2030, 2900, 4060, 5075, 5800, 8120, 10150, 20300

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40586 and 40600. The biggest common factor number is the GCF number.
So the greatest common factor 40586 and 40600 is 14.

Also check out the Least Common Multiple of 40586 and 40600