What is the Greatest Common Factor of 26601 and 26619?

Greatest common factor (GCF) of 26601 and 26619 is 3.

GCF(26601,26619) = 3

We will now calculate the prime factors of 26601 and 26619, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26601 and 26619.

How to find the GCF of 26601 and 26619?

We will first find the prime factorization of 26601 and 26619. After we will calculate the factors of 26601 and 26619 and find the biggest common factor number .

Step-1: Prime Factorization of 26601

Prime factors of 26601 are 3, 8867. Prime factorization of 26601 in exponential form is:

26601 = 3¹ × 8867¹

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 26601

List of positive integer factors of 26601 that divides 26601 without a remainder.

1, 3, 8867

Step-4: Factors of 26619

List of positive integer factors of 26619 that divides 26601 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26601 and 26619. The biggest common factor number is the GCF number.
So the greatest common factor 26601 and 26619 is 3.

Also check out the Least Common Multiple of 26601 and 26619