What is the Greatest Common Factor of 24570 and 24587?

Greatest common factor (GCF) of 24570 and 24587 is 1.

GCF(24570,24587) = 1

We will now calculate the prime factors of 24570 and 24587, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24570 and 24587.

How to find the GCF of 24570 and 24587?

We will first find the prime factorization of 24570 and 24587. After we will calculate the factors of 24570 and 24587 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 24587

Prime factors of 24587 are 23, 1069. Prime factorization of 24587 in exponential form is:

24587 = 23¹ × 1069¹

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 24587

List of positive integer factors of 24587 that divides 24570 without a remainder.

1, 23, 1069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24570 and 24587. The biggest common factor number is the GCF number.
So the greatest common factor 24570 and 24587 is 1.

Also check out the Least Common Multiple of 24570 and 24587