What is the Greatest Common Factor of 26883 and 26898?

Greatest common factor (GCF) of 26883 and 26898 is 3.

GCF(26883,26898) = 3

We will now calculate the prime factors of 26883 and 26898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26883 and 26898.

How to find the GCF of 26883 and 26898?

We will first find the prime factorization of 26883 and 26898. After we will calculate the factors of 26883 and 26898 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 26898

Prime factors of 26898 are 2, 3, 4483. Prime factorization of 26898 in exponential form is:

26898 = 2¹ × 3¹ × 4483¹

Step-3: Factors of 26883

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

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

Step-4: Factors of 26898

List of positive integer factors of 26898 that divides 26883 without a remainder.

1, 2, 3, 6, 4483, 8966, 13449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26883 and 26898. The biggest common factor number is the GCF number.
So the greatest common factor 26883 and 26898 is 3.

Also check out the Least Common Multiple of 26883 and 26898