What is the Greatest Common Factor of 21008 and 21013?

Greatest common factor (GCF) of 21008 and 21013 is 1.

GCF(21008,21013) = 1

We will now calculate the prime factors of 21008 and 21013, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21008 and 21013.

How to find the GCF of 21008 and 21013?

We will first find the prime factorization of 21008 and 21013. After we will calculate the factors of 21008 and 21013 and find the biggest common factor number .

Step-1: Prime Factorization of 21008

Prime factors of 21008 are 2, 13, 101. Prime factorization of 21008 in exponential form is:

21008 = 2⁴ × 13¹ × 101¹

Step-2: Prime Factorization of 21013

Prime factors of 21013 are 21013. Prime factorization of 21013 in exponential form is:

21013 = 21013¹

Step-3: Factors of 21008

List of positive integer factors of 21008 that divides 21008 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 101, 104, 202, 208, 404, 808, 1313, 1616, 2626, 5252, 10504

Step-4: Factors of 21013

List of positive integer factors of 21013 that divides 21008 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21008 and 21013. The biggest common factor number is the GCF number.
So the greatest common factor 21008 and 21013 is 1.

Also check out the Least Common Multiple of 21008 and 21013