What is the Greatest Common Factor of 24414 and 24418?

Greatest common factor (GCF) of 24414 and 24418 is 2.

GCF(24414,24418) = 2

We will now calculate the prime factors of 24414 and 24418, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24414 and 24418.

How to find the GCF of 24414 and 24418?

We will first find the prime factorization of 24414 and 24418. After we will calculate the factors of 24414 and 24418 and find the biggest common factor number .

Step-1: Prime Factorization of 24414

Prime factors of 24414 are 2, 3, 13, 313. Prime factorization of 24414 in exponential form is:

24414 = 2¹ × 3¹ × 13¹ × 313¹

Step-2: Prime Factorization of 24418

Prime factors of 24418 are 2, 29, 421. Prime factorization of 24418 in exponential form is:

24418 = 2¹ × 29¹ × 421¹

Step-3: Factors of 24414

List of positive integer factors of 24414 that divides 24414 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 313, 626, 939, 1878, 4069, 8138, 12207

Step-4: Factors of 24418

List of positive integer factors of 24418 that divides 24414 without a remainder.

1, 2, 29, 58, 421, 842, 12209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24414 and 24418. The biggest common factor number is the GCF number.
So the greatest common factor 24414 and 24418 is 2.

Also check out the Least Common Multiple of 24414 and 24418