What is the Greatest Common Factor of 12584 and 12588?

Greatest common factor (GCF) of 12584 and 12588 is 4.

GCF(12584,12588) = 4

We will now calculate the prime factors of 12584 and 12588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12584 and 12588.

How to find the GCF of 12584 and 12588?

We will first find the prime factorization of 12584 and 12588. After we will calculate the factors of 12584 and 12588 and find the biggest common factor number .

Step-1: Prime Factorization of 12584

Prime factors of 12584 are 2, 11, 13. Prime factorization of 12584 in exponential form is:

12584 = 2³ × 11² × 13¹

Step-2: Prime Factorization of 12588

Prime factors of 12588 are 2, 3, 1049. Prime factorization of 12588 in exponential form is:

12588 = 2² × 3¹ × 1049¹

Step-3: Factors of 12584

List of positive integer factors of 12584 that divides 12584 without a remainder.

1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 88, 104, 121, 143, 242, 286, 484, 572, 968, 1144, 1573, 3146, 6292

Step-4: Factors of 12588

List of positive integer factors of 12588 that divides 12584 without a remainder.

1, 2, 3, 4, 6, 12, 1049, 2098, 3147, 4196, 6294

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12584 and 12588. The biggest common factor number is the GCF number.
So the greatest common factor 12584 and 12588 is 4.

Also check out the Least Common Multiple of 12584 and 12588