What is the Greatest Common Factor of 51000 and 51010?

Greatest common factor (GCF) of 51000 and 51010 is 10.

GCF(51000,51010) = 10

We will now calculate the prime factors of 51000 and 51010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51000 and 51010.

How to find the GCF of 51000 and 51010?

We will first find the prime factorization of 51000 and 51010. After we will calculate the factors of 51000 and 51010 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 51010

Prime factors of 51010 are 2, 5, 5101. Prime factorization of 51010 in exponential form is:

51010 = 2¹ × 5¹ × 5101¹

Step-3: Factors of 51000

List of positive integer factors of 51000 that divides 51000 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

Step-4: Factors of 51010

List of positive integer factors of 51010 that divides 51000 without a remainder.

1, 2, 5, 10, 5101, 10202, 25505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51000 and 51010. The biggest common factor number is the GCF number.
So the greatest common factor 51000 and 51010 is 10.

Also check out the Least Common Multiple of 51000 and 51010