What is the Greatest Common Factor of 21268 and 21281?

Greatest common factor (GCF) of 21268 and 21281 is 13.

GCF(21268,21281) = 13

We will now calculate the prime factors of 21268 and 21281, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21268 and 21281.

How to find the GCF of 21268 and 21281?

We will first find the prime factorization of 21268 and 21281. After we will calculate the factors of 21268 and 21281 and find the biggest common factor number .

Step-1: Prime Factorization of 21268

Prime factors of 21268 are 2, 13, 409. Prime factorization of 21268 in exponential form is:

21268 = 2² × 13¹ × 409¹

Step-2: Prime Factorization of 21281

Prime factors of 21281 are 13, 1637. Prime factorization of 21281 in exponential form is:

21281 = 13¹ × 1637¹

Step-3: Factors of 21268

List of positive integer factors of 21268 that divides 21268 without a remainder.

1, 2, 4, 13, 26, 52, 409, 818, 1636, 5317, 10634

Step-4: Factors of 21281

List of positive integer factors of 21281 that divides 21268 without a remainder.

1, 13, 1637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21268 and 21281. The biggest common factor number is the GCF number.
So the greatest common factor 21268 and 21281 is 13.

Also check out the Least Common Multiple of 21268 and 21281