What is the Greatest Common Factor of 24570 and 24590?

Greatest common factor (GCF) of 24570 and 24590 is 10.

GCF(24570,24590) = 10

We will now calculate the prime factors of 24570 and 24590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24570 and 24590.

How to find the GCF of 24570 and 24590?

We will first find the prime factorization of 24570 and 24590. After we will calculate the factors of 24570 and 24590 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 24590

Prime factors of 24590 are 2, 5, 2459. Prime factorization of 24590 in exponential form is:

24590 = 2¹ × 5¹ × 2459¹

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 24590

List of positive integer factors of 24590 that divides 24570 without a remainder.

1, 2, 5, 10, 2459, 4918, 12295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24570 and 24590. The biggest common factor number is the GCF number.
So the greatest common factor 24570 and 24590 is 10.

Also check out the Least Common Multiple of 24570 and 24590