What is the Greatest Common Factor of 24570 and 24588?

Greatest common factor (GCF) of 24570 and 24588 is 18.

GCF(24570,24588) = 18

We will now calculate the prime factors of 24570 and 24588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24570 and 24588.

How to find the GCF of 24570 and 24588?

We will first find the prime factorization of 24570 and 24588. After we will calculate the factors of 24570 and 24588 and find the biggest common factor number .

Step-1: Prime Factorization of 24570

Prime factors of 24570 are 2, 3, 5, 7, 13. Prime factorization of 24570 in exponential form is:

24570 = 2¹ × 3³ × 5¹ × 7¹ × 13¹

Step-2: Prime Factorization of 24588

Prime factors of 24588 are 2, 3, 683. Prime factorization of 24588 in exponential form is:

24588 = 2² × 3² × 683¹

Step-3: Factors of 24570

List of positive integer factors of 24570 that divides 24570 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 13, 14, 15, 18, 21, 26, 27, 30, 35, 39, 42, 45, 54, 63, 65, 70, 78, 90, 91, 105, 117, 126, 130, 135, 182, 189, 195, 210, 234, 270, 273, 315, 351, 378, 390, 455, 546, 585, 630, 702, 819, 910, 945, 1170, 1365, 1638, 1755, 1890, 2457, 2730, 3510, 4095, 4914, 8190, 12285

Step-4: Factors of 24588

List of positive integer factors of 24588 that divides 24570 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 683, 1366, 2049, 2732, 4098, 6147, 8196, 12294

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24570 and 24588. The biggest common factor number is the GCF number.
So the greatest common factor 24570 and 24588 is 18.

Also check out the Least Common Multiple of 24570 and 24588