What is the Greatest Common Factor of 50983 and 51000?

Greatest common factor (GCF) of 50983 and 51000 is 17.

GCF(50983,51000) = 17

We will now calculate the prime factors of 50983 and 51000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50983 and 51000.

How to find the GCF of 50983 and 51000?

We will first find the prime factorization of 50983 and 51000. After we will calculate the factors of 50983 and 51000 and find the biggest common factor number .

Step-1: Prime Factorization of 50983

Prime factors of 50983 are 17, 2999. Prime factorization of 50983 in exponential form is:

50983 = 17¹ × 2999¹

Step-2: Prime Factorization of 51000

Prime factors of 51000 are 2, 3, 5, 17. Prime factorization of 51000 in exponential form is:

51000 = 2³ × 3¹ × 5³ × 17¹

Step-3: Factors of 50983

List of positive integer factors of 50983 that divides 50983 without a remainder.

1, 17, 2999

Step-4: Factors of 51000

List of positive integer factors of 51000 that divides 50983 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 17, 20, 24, 25, 30, 34, 40, 50, 51, 60, 68, 75, 85, 100, 102, 120, 125, 136, 150, 170, 200, 204, 250, 255, 300, 340, 375, 408, 425, 500, 510, 600, 680, 750, 850, 1000, 1020, 1275, 1500, 1700, 2040, 2125, 2550, 3000, 3400, 4250, 5100, 6375, 8500, 10200, 12750, 17000, 25500

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50983 and 51000. The biggest common factor number is the GCF number.
So the greatest common factor 50983 and 51000 is 17.

Also check out the Least Common Multiple of 50983 and 51000