What is the Greatest Common Factor of 26585 and 26590?

Greatest common factor (GCF) of 26585 and 26590 is 5.

GCF(26585,26590) = 5

We will now calculate the prime factors of 26585 and 26590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26585 and 26590.

How to find the GCF of 26585 and 26590?

We will first find the prime factorization of 26585 and 26590. After we will calculate the factors of 26585 and 26590 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 26590

Prime factors of 26590 are 2, 5, 2659. Prime factorization of 26590 in exponential form is:

26590 = 2¹ × 5¹ × 2659¹

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 26590

List of positive integer factors of 26590 that divides 26585 without a remainder.

1, 2, 5, 10, 2659, 5318, 13295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26585 and 26590. The biggest common factor number is the GCF number.
So the greatest common factor 26585 and 26590 is 5.

Also check out the Least Common Multiple of 26585 and 26590