What is the Greatest Common Factor of 21826 and 21844?

Greatest common factor (GCF) of 21826 and 21844 is 2.

GCF(21826,21844) = 2

We will now calculate the prime factors of 21826 and 21844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21826 and 21844.

How to find the GCF of 21826 and 21844?

We will first find the prime factorization of 21826 and 21844. After we will calculate the factors of 21826 and 21844 and find the biggest common factor number .

Step-1: Prime Factorization of 21826

Prime factors of 21826 are 2, 7, 1559. Prime factorization of 21826 in exponential form is:

21826 = 2¹ × 7¹ × 1559¹

Step-2: Prime Factorization of 21844

Prime factors of 21844 are 2, 43, 127. Prime factorization of 21844 in exponential form is:

21844 = 2² × 43¹ × 127¹

Step-3: Factors of 21826

List of positive integer factors of 21826 that divides 21826 without a remainder.

1, 2, 7, 14, 1559, 3118, 10913

Step-4: Factors of 21844

List of positive integer factors of 21844 that divides 21826 without a remainder.

1, 2, 4, 43, 86, 127, 172, 254, 508, 5461, 10922

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21826 and 21844. The biggest common factor number is the GCF number.
So the greatest common factor 21826 and 21844 is 2.

Also check out the Least Common Multiple of 21826 and 21844