What is the Greatest Common Factor of 40980 and 41000?

Greatest common factor (GCF) of 40980 and 41000 is 20.

GCF(40980,41000) = 20

We will now calculate the prime factors of 40980 and 41000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40980 and 41000.

How to find the GCF of 40980 and 41000?

We will first find the prime factorization of 40980 and 41000. After we will calculate the factors of 40980 and 41000 and find the biggest common factor number .

Step-1: Prime Factorization of 40980

Prime factors of 40980 are 2, 3, 5, 683. Prime factorization of 40980 in exponential form is:

40980 = 2² × 3¹ × 5¹ × 683¹

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 40980

List of positive integer factors of 40980 that divides 40980 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 683, 1366, 2049, 2732, 3415, 4098, 6830, 8196, 10245, 13660, 20490

Step-4: Factors of 41000

List of positive integer factors of 41000 that divides 40980 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 40980 and 41000. The biggest common factor number is the GCF number.
So the greatest common factor 40980 and 41000 is 20.

Also check out the Least Common Multiple of 40980 and 41000