What is the Greatest Common Factor of 26268 and 26287?

Greatest common factor (GCF) of 26268 and 26287 is 1.

GCF(26268,26287) = 1

We will now calculate the prime factors of 26268 and 26287, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26268 and 26287.

How to find the GCF of 26268 and 26287?

We will first find the prime factorization of 26268 and 26287. After we will calculate the factors of 26268 and 26287 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 26287

Prime factors of 26287 are 97, 271. Prime factorization of 26287 in exponential form is:

26287 = 97¹ × 271¹

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 26287

List of positive integer factors of 26287 that divides 26268 without a remainder.

1, 97, 271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26268 and 26287. The biggest common factor number is the GCF number.
So the greatest common factor 26268 and 26287 is 1.

Also check out the Least Common Multiple of 26268 and 26287