What is the Greatest Common Factor of 26874 and 26882?

Greatest common factor (GCF) of 26874 and 26882 is 2.

GCF(26874,26882) = 2

We will now calculate the prime factors of 26874 and 26882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26874 and 26882.

How to find the GCF of 26874 and 26882?

We will first find the prime factorization of 26874 and 26882. After we will calculate the factors of 26874 and 26882 and find the biggest common factor number .

Step-1: Prime Factorization of 26874

Prime factors of 26874 are 2, 3, 1493. Prime factorization of 26874 in exponential form is:

26874 = 2¹ × 3² × 1493¹

Step-2: Prime Factorization of 26882

Prime factors of 26882 are 2, 13441. Prime factorization of 26882 in exponential form is:

26882 = 2¹ × 13441¹

Step-3: Factors of 26874

List of positive integer factors of 26874 that divides 26874 without a remainder.

1, 2, 3, 6, 9, 18, 1493, 2986, 4479, 8958, 13437

Step-4: Factors of 26882

List of positive integer factors of 26882 that divides 26874 without a remainder.

1, 2, 13441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26874 and 26882. The biggest common factor number is the GCF number.
So the greatest common factor 26874 and 26882 is 2.

Also check out the Least Common Multiple of 26874 and 26882