What is the Greatest Common Factor of 26598 and 26613?

Greatest common factor (GCF) of 26598 and 26613 is 3.

GCF(26598,26613) = 3

We will now calculate the prime factors of 26598 and 26613, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26598 and 26613.

How to find the GCF of 26598 and 26613?

We will first find the prime factorization of 26598 and 26613. After we will calculate the factors of 26598 and 26613 and find the biggest common factor number .

Step-1: Prime Factorization of 26598

Prime factors of 26598 are 2, 3, 11, 13, 31. Prime factorization of 26598 in exponential form is:

26598 = 2¹ × 3¹ × 11¹ × 13¹ × 31¹

Step-2: Prime Factorization of 26613

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

26613 = 3² × 2957¹

Step-3: Factors of 26598

List of positive integer factors of 26598 that divides 26598 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 31, 33, 39, 62, 66, 78, 93, 143, 186, 286, 341, 403, 429, 682, 806, 858, 1023, 1209, 2046, 2418, 4433, 8866, 13299

Step-4: Factors of 26613

List of positive integer factors of 26613 that divides 26598 without a remainder.

1, 3, 9, 2957, 8871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26598 and 26613. The biggest common factor number is the GCF number.
So the greatest common factor 26598 and 26613 is 3.

Also check out the Least Common Multiple of 26598 and 26613