What is the Greatest Common Factor of 24409 and 24420?

Greatest common factor (GCF) of 24409 and 24420 is 11.

GCF(24409,24420) = 11

We will now calculate the prime factors of 24409 and 24420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24409 and 24420.

How to find the GCF of 24409 and 24420?

We will first find the prime factorization of 24409 and 24420. After we will calculate the factors of 24409 and 24420 and find the biggest common factor number .

Step-1: Prime Factorization of 24409

Prime factors of 24409 are 7, 11, 317. Prime factorization of 24409 in exponential form is:

24409 = 7¹ × 11¹ × 317¹

Step-2: Prime Factorization of 24420

Prime factors of 24420 are 2, 3, 5, 11, 37. Prime factorization of 24420 in exponential form is:

24420 = 2² × 3¹ × 5¹ × 11¹ × 37¹

Step-3: Factors of 24409

List of positive integer factors of 24409 that divides 24409 without a remainder.

1, 7, 11, 77, 317, 2219, 3487

Step-4: Factors of 24420

List of positive integer factors of 24420 that divides 24409 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 37, 44, 55, 60, 66, 74, 110, 111, 132, 148, 165, 185, 220, 222, 330, 370, 407, 444, 555, 660, 740, 814, 1110, 1221, 1628, 2035, 2220, 2442, 4070, 4884, 6105, 8140, 12210

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24409 and 24420. The biggest common factor number is the GCF number.
So the greatest common factor 24409 and 24420 is 11.

Also check out the Least Common Multiple of 24409 and 24420