What is the Greatest Common Factor of 26585 and 26598?

Greatest common factor (GCF) of 26585 and 26598 is 13.

GCF(26585,26598) = 13

We will now calculate the prime factors of 26585 and 26598, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26585 and 26598.

How to find the GCF of 26585 and 26598?

We will first find the prime factorization of 26585 and 26598. After we will calculate the factors of 26585 and 26598 and find the biggest common factor number .

Step-1: Prime Factorization of 26585

Prime factors of 26585 are 5, 13, 409. Prime factorization of 26585 in exponential form is:

26585 = 5¹ × 13¹ × 409¹

Step-2: 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-3: Factors of 26585

List of positive integer factors of 26585 that divides 26585 without a remainder.

1, 5, 13, 65, 409, 2045, 5317

Step-4: Factors of 26598

List of positive integer factors of 26598 that divides 26585 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26585 and 26598. The biggest common factor number is the GCF number.
So the greatest common factor 26585 and 26598 is 13.

Also check out the Least Common Multiple of 26585 and 26598