What is the Greatest Common Factor of 24430 and 24444?

Greatest common factor (GCF) of 24430 and 24444 is 14.

GCF(24430,24444) = 14

We will now calculate the prime factors of 24430 and 24444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24430 and 24444.

How to find the GCF of 24430 and 24444?

We will first find the prime factorization of 24430 and 24444. After we will calculate the factors of 24430 and 24444 and find the biggest common factor number .

Step-1: Prime Factorization of 24430

Prime factors of 24430 are 2, 5, 7, 349. Prime factorization of 24430 in exponential form is:

24430 = 2¹ × 5¹ × 7¹ × 349¹

Step-2: Prime Factorization of 24444

Prime factors of 24444 are 2, 3, 7, 97. Prime factorization of 24444 in exponential form is:

24444 = 2² × 3² × 7¹ × 97¹

Step-3: Factors of 24430

List of positive integer factors of 24430 that divides 24430 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 349, 698, 1745, 2443, 3490, 4886, 12215

Step-4: Factors of 24444

List of positive integer factors of 24444 that divides 24430 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 97, 126, 194, 252, 291, 388, 582, 679, 873, 1164, 1358, 1746, 2037, 2716, 3492, 4074, 6111, 8148, 12222

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24430 and 24444. The biggest common factor number is the GCF number.
So the greatest common factor 24430 and 24444 is 14.

Also check out the Least Common Multiple of 24430 and 24444