What is the Greatest Common Factor of 26874 and 26883?

Greatest common factor (GCF) of 26874 and 26883 is 9.

GCF(26874,26883) = 9

We will now calculate the prime factors of 26874 and 26883, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26874 and 26883.

How to find the GCF of 26874 and 26883?

We will first find the prime factorization of 26874 and 26883. After we will calculate the factors of 26874 and 26883 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 26883

Prime factors of 26883 are 3, 29, 103. Prime factorization of 26883 in exponential form is:

26883 = 3² × 29¹ × 103¹

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 26883

List of positive integer factors of 26883 that divides 26874 without a remainder.

1, 3, 9, 29, 87, 103, 261, 309, 927, 2987, 8961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26874 and 26883. The biggest common factor number is the GCF number.
So the greatest common factor 26874 and 26883 is 9.

Also check out the Least Common Multiple of 26874 and 26883