What is the Greatest Common Factor of 40990 and 41000?

Greatest common factor (GCF) of 40990 and 41000 is 10.

GCF(40990,41000) = 10

We will now calculate the prime factors of 40990 and 41000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40990 and 41000.

How to find the GCF of 40990 and 41000?

We will first find the prime factorization of 40990 and 41000. After we will calculate the factors of 40990 and 41000 and find the biggest common factor number .

Step-1: Prime Factorization of 40990

Prime factors of 40990 are 2, 5, 4099. Prime factorization of 40990 in exponential form is:

40990 = 2¹ × 5¹ × 4099¹

Step-2: Prime Factorization of 41000

Prime factors of 41000 are 2, 5, 41. Prime factorization of 41000 in exponential form is:

41000 = 2³ × 5³ × 41¹

Step-3: Factors of 40990

List of positive integer factors of 40990 that divides 40990 without a remainder.

1, 2, 5, 10, 4099, 8198, 20495

Step-4: Factors of 41000

List of positive integer factors of 41000 that divides 40990 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 41, 50, 82, 100, 125, 164, 200, 205, 250, 328, 410, 500, 820, 1000, 1025, 1640, 2050, 4100, 5125, 8200, 10250, 20500

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40990 and 41000. The biggest common factor number is the GCF number.
So the greatest common factor 40990 and 41000 is 10.

Also check out the Least Common Multiple of 40990 and 41000