What is the Greatest Common Factor of 26829 and 26844?

Greatest common factor (GCF) of 26829 and 26844 is 3.

GCF(26829,26844) = 3

We will now calculate the prime factors of 26829 and 26844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26829 and 26844.

How to find the GCF of 26829 and 26844?

We will first find the prime factorization of 26829 and 26844. After we will calculate the factors of 26829 and 26844 and find the biggest common factor number .

Step-1: Prime Factorization of 26829

Prime factors of 26829 are 3, 11, 271. Prime factorization of 26829 in exponential form is:

26829 = 3² × 11¹ × 271¹

Step-2: Prime Factorization of 26844

Prime factors of 26844 are 2, 3, 2237. Prime factorization of 26844 in exponential form is:

26844 = 2² × 3¹ × 2237¹

Step-3: Factors of 26829

List of positive integer factors of 26829 that divides 26829 without a remainder.

1, 3, 9, 11, 33, 99, 271, 813, 2439, 2981, 8943

Step-4: Factors of 26844

List of positive integer factors of 26844 that divides 26829 without a remainder.

1, 2, 3, 4, 6, 12, 2237, 4474, 6711, 8948, 13422

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26829 and 26844. The biggest common factor number is the GCF number.
So the greatest common factor 26829 and 26844 is 3.

Also check out the Least Common Multiple of 26829 and 26844