What is the Greatest Common Factor of 26584 and 26588?

Greatest common factor (GCF) of 26584 and 26588 is 4.

GCF(26584,26588) = 4

We will now calculate the prime factors of 26584 and 26588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26584 and 26588.

How to find the GCF of 26584 and 26588?

We will first find the prime factorization of 26584 and 26588. After we will calculate the factors of 26584 and 26588 and find the biggest common factor number .

Step-1: Prime Factorization of 26584

Prime factors of 26584 are 2, 3323. Prime factorization of 26584 in exponential form is:

26584 = 2³ × 3323¹

Step-2: Prime Factorization of 26588

Prime factors of 26588 are 2, 17, 23. Prime factorization of 26588 in exponential form is:

26588 = 2² × 17² × 23¹

Step-3: Factors of 26584

List of positive integer factors of 26584 that divides 26584 without a remainder.

1, 2, 4, 8, 3323, 6646, 13292

Step-4: Factors of 26588

List of positive integer factors of 26588 that divides 26584 without a remainder.

1, 2, 4, 17, 23, 34, 46, 68, 92, 289, 391, 578, 782, 1156, 1564, 6647, 13294

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26584 and 26588. The biggest common factor number is the GCF number.
So the greatest common factor 26584 and 26588 is 4.

Also check out the Least Common Multiple of 26584 and 26588