What is the Greatest Common Factor of 21500 and 21511?

Greatest common factor (GCF) of 21500 and 21511 is 1.

GCF(21500,21511) = 1

We will now calculate the prime factors of 21500 and 21511, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21500 and 21511.

How to find the GCF of 21500 and 21511?

We will first find the prime factorization of 21500 and 21511. After we will calculate the factors of 21500 and 21511 and find the biggest common factor number .

Step-1: Prime Factorization of 21500

Prime factors of 21500 are 2, 5, 43. Prime factorization of 21500 in exponential form is:

21500 = 2² × 5³ × 43¹

Step-2: Prime Factorization of 21511

Prime factors of 21511 are 7, 439. Prime factorization of 21511 in exponential form is:

21511 = 7² × 439¹

Step-3: Factors of 21500

List of positive integer factors of 21500 that divides 21500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 43, 50, 86, 100, 125, 172, 215, 250, 430, 500, 860, 1075, 2150, 4300, 5375, 10750

Step-4: Factors of 21511

List of positive integer factors of 21511 that divides 21500 without a remainder.

1, 7, 49, 439, 3073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21500 and 21511. The biggest common factor number is the GCF number.
So the greatest common factor 21500 and 21511 is 1.

Also check out the Least Common Multiple of 21500 and 21511