What is the Greatest Common Factor of 26826 and 26842?

Greatest common factor (GCF) of 26826 and 26842 is 2.

GCF(26826,26842) = 2

We will now calculate the prime factors of 26826 and 26842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26826 and 26842.

How to find the GCF of 26826 and 26842?

We will first find the prime factorization of 26826 and 26842. After we will calculate the factors of 26826 and 26842 and find the biggest common factor number .

Step-1: Prime Factorization of 26826

Prime factors of 26826 are 2, 3, 17, 263. Prime factorization of 26826 in exponential form is:

26826 = 2¹ × 3¹ × 17¹ × 263¹

Step-2: Prime Factorization of 26842

Prime factors of 26842 are 2, 13421. Prime factorization of 26842 in exponential form is:

26842 = 2¹ × 13421¹

Step-3: Factors of 26826

List of positive integer factors of 26826 that divides 26826 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 263, 526, 789, 1578, 4471, 8942, 13413

Step-4: Factors of 26842

List of positive integer factors of 26842 that divides 26826 without a remainder.

1, 2, 13421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26826 and 26842. The biggest common factor number is the GCF number.
So the greatest common factor 26826 and 26842 is 2.

Also check out the Least Common Multiple of 26826 and 26842