What is the Greatest Common Factor of 21208 and 21226?

Greatest common factor (GCF) of 21208 and 21226 is 2.

GCF(21208,21226) = 2

We will now calculate the prime factors of 21208 and 21226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21208 and 21226.

How to find the GCF of 21208 and 21226?

We will first find the prime factorization of 21208 and 21226. After we will calculate the factors of 21208 and 21226 and find the biggest common factor number .

Step-1: Prime Factorization of 21208

Prime factors of 21208 are 2, 11, 241. Prime factorization of 21208 in exponential form is:

21208 = 2³ × 11¹ × 241¹

Step-2: Prime Factorization of 21226

Prime factors of 21226 are 2, 10613. Prime factorization of 21226 in exponential form is:

21226 = 2¹ × 10613¹

Step-3: Factors of 21208

List of positive integer factors of 21208 that divides 21208 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 241, 482, 964, 1928, 2651, 5302, 10604

Step-4: Factors of 21226

List of positive integer factors of 21226 that divides 21208 without a remainder.

1, 2, 10613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21208 and 21226. The biggest common factor number is the GCF number.
So the greatest common factor 21208 and 21226 is 2.

Also check out the Least Common Multiple of 21208 and 21226