What is the Greatest Common Factor of 24114 and 24118?

Greatest common factor (GCF) of 24114 and 24118 is 2.

GCF(24114,24118) = 2

We will now calculate the prime factors of 24114 and 24118, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24114 and 24118.

How to find the GCF of 24114 and 24118?

We will first find the prime factorization of 24114 and 24118. After we will calculate the factors of 24114 and 24118 and find the biggest common factor number .

Step-1: Prime Factorization of 24114

Prime factors of 24114 are 2, 3, 4019. Prime factorization of 24114 in exponential form is:

24114 = 2¹ × 3¹ × 4019¹

Step-2: Prime Factorization of 24118

Prime factors of 24118 are 2, 31, 389. Prime factorization of 24118 in exponential form is:

24118 = 2¹ × 31¹ × 389¹

Step-3: Factors of 24114

List of positive integer factors of 24114 that divides 24114 without a remainder.

1, 2, 3, 6, 4019, 8038, 12057

Step-4: Factors of 24118

List of positive integer factors of 24118 that divides 24114 without a remainder.

1, 2, 31, 62, 389, 778, 12059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24114 and 24118. The biggest common factor number is the GCF number.
So the greatest common factor 24114 and 24118 is 2.

Also check out the Least Common Multiple of 24114 and 24118