What is the Greatest Common Factor of 26613 and 26619?

Greatest common factor (GCF) of 26613 and 26619 is 3.

GCF(26613,26619) = 3

We will now calculate the prime factors of 26613 and 26619, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26613 and 26619.

How to find the GCF of 26613 and 26619?

We will first find the prime factorization of 26613 and 26619. After we will calculate the factors of 26613 and 26619 and find the biggest common factor number .

Step-1: Prime Factorization of 26613

Prime factors of 26613 are 3, 2957. Prime factorization of 26613 in exponential form is:

26613 = 3² × 2957¹

Step-2: 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-3: Factors of 26613

List of positive integer factors of 26613 that divides 26613 without a remainder.

1, 3, 9, 2957, 8871

Step-4: Factors of 26619

List of positive integer factors of 26619 that divides 26613 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26613 and 26619. The biggest common factor number is the GCF number.
So the greatest common factor 26613 and 26619 is 3.

Also check out the Least Common Multiple of 26613 and 26619