What is the Greatest Common Factor of 21008 and 21022?

Greatest common factor (GCF) of 21008 and 21022 is 2.

GCF(21008,21022) = 2

We will now calculate the prime factors of 21008 and 21022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21008 and 21022.

How to find the GCF of 21008 and 21022?

We will first find the prime factorization of 21008 and 21022. After we will calculate the factors of 21008 and 21022 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 21022

Prime factors of 21022 are 2, 23, 457. Prime factorization of 21022 in exponential form is:

21022 = 2¹ × 23¹ × 457¹

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 21022

List of positive integer factors of 21022 that divides 21008 without a remainder.

1, 2, 23, 46, 457, 914, 10511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21008 and 21022. The biggest common factor number is the GCF number.
So the greatest common factor 21008 and 21022 is 2.

Also check out the Least Common Multiple of 21008 and 21022