What is the Greatest Common Factor of 21254 and 21268?

Greatest common factor (GCF) of 21254 and 21268 is 2.

GCF(21254,21268) = 2

We will now calculate the prime factors of 21254 and 21268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21254 and 21268.

How to find the GCF of 21254 and 21268?

We will first find the prime factorization of 21254 and 21268. After we will calculate the factors of 21254 and 21268 and find the biggest common factor number .

Step-1: Prime Factorization of 21254

Prime factors of 21254 are 2, 10627. Prime factorization of 21254 in exponential form is:

21254 = 2¹ × 10627¹

Step-2: 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-3: Factors of 21254

List of positive integer factors of 21254 that divides 21254 without a remainder.

1, 2, 10627

Step-4: Factors of 21268

List of positive integer factors of 21268 that divides 21254 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21254 and 21268. The biggest common factor number is the GCF number.
So the greatest common factor 21254 and 21268 is 2.

Also check out the Least Common Multiple of 21254 and 21268