What is the Greatest Common Factor of 26619 and 26631?

Greatest common factor (GCF) of 26619 and 26631 is 3.

GCF(26619,26631) = 3

We will now calculate the prime factors of 26619 and 26631, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26619 and 26631.

How to find the GCF of 26619 and 26631?

We will first find the prime factorization of 26619 and 26631. After we will calculate the factors of 26619 and 26631 and find the biggest common factor number .

Step-1: Prime Factorization of 26619

Prime factors of 26619 are 3, 19, 467. Prime factorization of 26619 in exponential form is:

26619 = 3¹ × 19¹ × 467¹

Step-2: Prime Factorization of 26631

Prime factors of 26631 are 3, 11, 269. Prime factorization of 26631 in exponential form is:

26631 = 3² × 11¹ × 269¹

Step-3: Factors of 26619

List of positive integer factors of 26619 that divides 26619 without a remainder.

1, 3, 19, 57, 467, 1401, 8873

Step-4: Factors of 26631

List of positive integer factors of 26631 that divides 26619 without a remainder.

1, 3, 9, 11, 33, 99, 269, 807, 2421, 2959, 8877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26619 and 26631. The biggest common factor number is the GCF number.
So the greatest common factor 26619 and 26631 is 3.

Also check out the Least Common Multiple of 26619 and 26631