What is the Greatest Common Factor of 21826 and 21834?

Greatest common factor (GCF) of 21826 and 21834 is 2.

GCF(21826,21834) = 2

We will now calculate the prime factors of 21826 and 21834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21826 and 21834.

How to find the GCF of 21826 and 21834?

We will first find the prime factorization of 21826 and 21834. After we will calculate the factors of 21826 and 21834 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 21834

Prime factors of 21834 are 2, 3, 1213. Prime factorization of 21834 in exponential form is:

21834 = 2¹ × 3² × 1213¹

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 21834

List of positive integer factors of 21834 that divides 21826 without a remainder.

1, 2, 3, 6, 9, 18, 1213, 2426, 3639, 7278, 10917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21826 and 21834. The biggest common factor number is the GCF number.
So the greatest common factor 21826 and 21834 is 2.

Also check out the Least Common Multiple of 21826 and 21834