What is the Greatest Common Factor of 26580 and 26588?

Greatest common factor (GCF) of 26580 and 26588 is 4.

GCF(26580,26588) = 4

We will now calculate the prime factors of 26580 and 26588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26580 and 26588.

How to find the GCF of 26580 and 26588?

We will first find the prime factorization of 26580 and 26588. After we will calculate the factors of 26580 and 26588 and find the biggest common factor number .

Step-1: Prime Factorization of 26580

Prime factors of 26580 are 2, 3, 5, 443. Prime factorization of 26580 in exponential form is:

26580 = 2² × 3¹ × 5¹ × 443¹

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 26580

List of positive integer factors of 26580 that divides 26580 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 443, 886, 1329, 1772, 2215, 2658, 4430, 5316, 6645, 8860, 13290

Step-4: Factors of 26588

List of positive integer factors of 26588 that divides 26580 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 26580 and 26588. The biggest common factor number is the GCF number.
So the greatest common factor 26580 and 26588 is 4.

Also check out the Least Common Multiple of 26580 and 26588