What is the Greatest Common Factor of 20999 and 21015?

Greatest common factor (GCF) of 20999 and 21015 is 1.

GCF(20999,21015) = 1

We will now calculate the prime factors of 20999 and 21015, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20999 and 21015.

How to find the GCF of 20999 and 21015?

We will first find the prime factorization of 20999 and 21015. After we will calculate the factors of 20999 and 21015 and find the biggest common factor number .

Step-1: Prime Factorization of 20999

Prime factors of 20999 are 11, 23, 83. Prime factorization of 20999 in exponential form is:

20999 = 11¹ × 23¹ × 83¹

Step-2: Prime Factorization of 21015

Prime factors of 21015 are 3, 5, 467. Prime factorization of 21015 in exponential form is:

21015 = 3² × 5¹ × 467¹

Step-3: Factors of 20999

List of positive integer factors of 20999 that divides 20999 without a remainder.

1, 11, 23, 83, 253, 913, 1909

Step-4: Factors of 21015

List of positive integer factors of 21015 that divides 20999 without a remainder.

1, 3, 5, 9, 15, 45, 467, 1401, 2335, 4203, 7005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20999 and 21015. The biggest common factor number is the GCF number.
So the greatest common factor 20999 and 21015 is 1.

Also check out the Least Common Multiple of 20999 and 21015