What is the Greatest Common Factor of 21005 and 21019?

Greatest common factor (GCF) of 21005 and 21019 is 1.

GCF(21005,21019) = 1

We will now calculate the prime factors of 21005 and 21019, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21005 and 21019.

How to find the GCF of 21005 and 21019?

We will first find the prime factorization of 21005 and 21019. After we will calculate the factors of 21005 and 21019 and find the biggest common factor number .

Step-1: Prime Factorization of 21005

Prime factors of 21005 are 5, 4201. Prime factorization of 21005 in exponential form is:

21005 = 5¹ × 4201¹

Step-2: Prime Factorization of 21019

Prime factors of 21019 are 21019. Prime factorization of 21019 in exponential form is:

21019 = 21019¹

Step-3: Factors of 21005

List of positive integer factors of 21005 that divides 21005 without a remainder.

1, 5, 4201

Step-4: Factors of 21019

List of positive integer factors of 21019 that divides 21005 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21005 and 21019. The biggest common factor number is the GCF number.
So the greatest common factor 21005 and 21019 is 1.

Also check out the Least Common Multiple of 21005 and 21019