What is the Greatest Common Factor of 26582 and 26590?

Greatest common factor (GCF) of 26582 and 26590 is 2.

GCF(26582,26590) = 2

We will now calculate the prime factors of 26582 and 26590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26582 and 26590.

How to find the GCF of 26582 and 26590?

We will first find the prime factorization of 26582 and 26590. After we will calculate the factors of 26582 and 26590 and find the biggest common factor number .

Step-1: Prime Factorization of 26582

Prime factors of 26582 are 2, 13291. Prime factorization of 26582 in exponential form is:

26582 = 2¹ × 13291¹

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 26582

List of positive integer factors of 26582 that divides 26582 without a remainder.

1, 2, 13291

Step-4: Factors of 26590

List of positive integer factors of 26590 that divides 26582 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26582 and 26590. The biggest common factor number is the GCF number.
So the greatest common factor 26582 and 26590 is 2.

Also check out the Least Common Multiple of 26582 and 26590