What is the Greatest Common Factor of 21268 and 21278?

Greatest common factor (GCF) of 21268 and 21278 is 2.

GCF(21268,21278) = 2

We will now calculate the prime factors of 21268 and 21278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21268 and 21278.

How to find the GCF of 21268 and 21278?

We will first find the prime factorization of 21268 and 21278. After we will calculate the factors of 21268 and 21278 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 21278

Prime factors of 21278 are 2, 10639. Prime factorization of 21278 in exponential form is:

21278 = 2¹ × 10639¹

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 21278

List of positive integer factors of 21278 that divides 21268 without a remainder.

1, 2, 10639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21268 and 21278. The biggest common factor number is the GCF number.
So the greatest common factor 21268 and 21278 is 2.

Also check out the Least Common Multiple of 21268 and 21278