What is the Greatest Common Factor of 26268 and 26279?

Greatest common factor (GCF) of 26268 and 26279 is 11.

GCF(26268,26279) = 11

We will now calculate the prime factors of 26268 and 26279, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26268 and 26279.

How to find the GCF of 26268 and 26279?

We will first find the prime factorization of 26268 and 26279. After we will calculate the factors of 26268 and 26279 and find the biggest common factor number .

Step-1: Prime Factorization of 26268

Prime factors of 26268 are 2, 3, 11, 199. Prime factorization of 26268 in exponential form is:

26268 = 2² × 3¹ × 11¹ × 199¹

Step-2: Prime Factorization of 26279

Prime factors of 26279 are 11, 2389. Prime factorization of 26279 in exponential form is:

26279 = 11¹ × 2389¹

Step-3: Factors of 26268

List of positive integer factors of 26268 that divides 26268 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 199, 398, 597, 796, 1194, 2189, 2388, 4378, 6567, 8756, 13134

Step-4: Factors of 26279

List of positive integer factors of 26279 that divides 26268 without a remainder.

1, 11, 2389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26268 and 26279. The biggest common factor number is the GCF number.
So the greatest common factor 26268 and 26279 is 11.

Also check out the Least Common Multiple of 26268 and 26279