What is the Greatest Common Factor of 24105 and 24118?

Greatest common factor (GCF) of 24105 and 24118 is 1.

GCF(24105,24118) = 1

We will now calculate the prime factors of 24105 and 24118, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24105 and 24118.

How to find the GCF of 24105 and 24118?

We will first find the prime factorization of 24105 and 24118. After we will calculate the factors of 24105 and 24118 and find the biggest common factor number .

Step-1: Prime Factorization of 24105

Prime factors of 24105 are 3, 5, 1607. Prime factorization of 24105 in exponential form is:

24105 = 3¹ × 5¹ × 1607¹

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 24105

List of positive integer factors of 24105 that divides 24105 without a remainder.

1, 3, 5, 15, 1607, 4821, 8035

Step-4: Factors of 24118

List of positive integer factors of 24118 that divides 24105 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24105 and 24118. The biggest common factor number is the GCF number.
So the greatest common factor 24105 and 24118 is 1.

Also check out the Least Common Multiple of 24105 and 24118