What is the Greatest Common Factor of 24570 and 24583?

Greatest common factor (GCF) of 24570 and 24583 is 13.

GCF(24570,24583) = 13

We will now calculate the prime factors of 24570 and 24583, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24570 and 24583.

How to find the GCF of 24570 and 24583?

We will first find the prime factorization of 24570 and 24583. After we will calculate the factors of 24570 and 24583 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 24583

Prime factors of 24583 are 13, 31, 61. Prime factorization of 24583 in exponential form is:

24583 = 13¹ × 31¹ × 61¹

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 24583

List of positive integer factors of 24583 that divides 24570 without a remainder.

1, 13, 31, 61, 403, 793, 1891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24570 and 24583. The biggest common factor number is the GCF number.
So the greatest common factor 24570 and 24583 is 13.

Also check out the Least Common Multiple of 24570 and 24583