What is the Greatest Common Factor of 50991 and 51000?

Greatest common factor (GCF) of 50991 and 51000 is 3.

GCF(50991,51000) = 3

We will now calculate the prime factors of 50991 and 51000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50991 and 51000.

How to find the GCF of 50991 and 51000?

We will first find the prime factorization of 50991 and 51000. After we will calculate the factors of 50991 and 51000 and find the biggest common factor number .

Step-1: Prime Factorization of 50991

Prime factors of 50991 are 3, 23, 739. Prime factorization of 50991 in exponential form is:

50991 = 3¹ × 23¹ × 739¹

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 50991

List of positive integer factors of 50991 that divides 50991 without a remainder.

1, 3, 23, 69, 739, 2217, 16997

Step-4: Factors of 51000

List of positive integer factors of 51000 that divides 50991 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 50991 and 51000. The biggest common factor number is the GCF number.
So the greatest common factor 50991 and 51000 is 3.

Also check out the Least Common Multiple of 50991 and 51000