What is the Greatest Common Factor of 21000 and 21010?

Greatest common factor (GCF) of 21000 and 21010 is 10.

GCF(21000,21010) = 10

We will now calculate the prime factors of 21000 and 21010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21000 and 21010.

How to find the GCF of 21000 and 21010?

We will first find the prime factorization of 21000 and 21010. After we will calculate the factors of 21000 and 21010 and find the biggest common factor number .

Step-1: Prime Factorization of 21000

Prime factors of 21000 are 2, 3, 5, 7. Prime factorization of 21000 in exponential form is:

21000 = 2³ × 3¹ × 5³ × 7¹

Step-2: Prime Factorization of 21010

Prime factors of 21010 are 2, 5, 11, 191. Prime factorization of 21010 in exponential form is:

21010 = 2¹ × 5¹ × 11¹ × 191¹

Step-3: Factors of 21000

List of positive integer factors of 21000 that divides 21000 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 25, 28, 30, 35, 40, 42, 50, 56, 60, 70, 75, 84, 100, 105, 120, 125, 140, 150, 168, 175, 200, 210, 250, 280, 300, 350, 375, 420, 500, 525, 600, 700, 750, 840, 875, 1000, 1050, 1400, 1500, 1750, 2100, 2625, 3000, 3500, 4200, 5250, 7000, 10500

Step-4: Factors of 21010

List of positive integer factors of 21010 that divides 21000 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 191, 382, 955, 1910, 2101, 4202, 10505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21000 and 21010. The biggest common factor number is the GCF number.
So the greatest common factor 21000 and 21010 is 10.

Also check out the Least Common Multiple of 21000 and 21010