What is the Greatest Common Factor of 40600 and 40616?

Greatest common factor (GCF) of 40600 and 40616 is 8.

GCF(40600,40616) = 8

We will now calculate the prime factors of 40600 and 40616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40600 and 40616.

How to find the GCF of 40600 and 40616?

We will first find the prime factorization of 40600 and 40616. After we will calculate the factors of 40600 and 40616 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40616

Prime factors of 40616 are 2, 5077. Prime factorization of 40616 in exponential form is:

40616 = 2³ × 5077¹

Step-3: Factors of 40600

List of positive integer factors of 40600 that divides 40600 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

Step-4: Factors of 40616

List of positive integer factors of 40616 that divides 40600 without a remainder.

1, 2, 4, 8, 5077, 10154, 20308

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40600 and 40616. The biggest common factor number is the GCF number.
So the greatest common factor 40600 and 40616 is 8.

Also check out the Least Common Multiple of 40600 and 40616