What is the Greatest Common Factor of 40585 and 40600?

Greatest common factor (GCF) of 40585 and 40600 is 5.

GCF(40585,40600) = 5

We will now calculate the prime factors of 40585 and 40600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40585 and 40600.

How to find the GCF of 40585 and 40600?

We will first find the prime factorization of 40585 and 40600. After we will calculate the factors of 40585 and 40600 and find the biggest common factor number .

Step-1: Prime Factorization of 40585

Prime factors of 40585 are 5, 8117. Prime factorization of 40585 in exponential form is:

40585 = 5¹ × 8117¹

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 40585

List of positive integer factors of 40585 that divides 40585 without a remainder.

1, 5, 8117

Step-4: Factors of 40600

List of positive integer factors of 40600 that divides 40585 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 40585 and 40600. The biggest common factor number is the GCF number.
So the greatest common factor 40585 and 40600 is 5.

Also check out the Least Common Multiple of 40585 and 40600