What is the Greatest Common Factor of 24118 and 24135?

Greatest common factor (GCF) of 24118 and 24135 is 1.

GCF(24118,24135) = 1

We will now calculate the prime factors of 24118 and 24135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24118 and 24135.

How to find the GCF of 24118 and 24135?

We will first find the prime factorization of 24118 and 24135. After we will calculate the factors of 24118 and 24135 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24135

Prime factors of 24135 are 3, 5, 1609. Prime factorization of 24135 in exponential form is:

24135 = 3¹ × 5¹ × 1609¹

Step-3: Factors of 24118

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

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

Step-4: Factors of 24135

List of positive integer factors of 24135 that divides 24118 without a remainder.

1, 3, 5, 15, 1609, 4827, 8045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24118 and 24135. The biggest common factor number is the GCF number.
So the greatest common factor 24118 and 24135 is 1.

Also check out the Least Common Multiple of 24118 and 24135