What is the Greatest Common Factor of 24106 and 24123?

Greatest common factor (GCF) of 24106 and 24123 is 17.

GCF(24106,24123) = 17

We will now calculate the prime factors of 24106 and 24123, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24106 and 24123.

How to find the GCF of 24106 and 24123?

We will first find the prime factorization of 24106 and 24123. After we will calculate the factors of 24106 and 24123 and find the biggest common factor number .

Step-1: Prime Factorization of 24106

Prime factors of 24106 are 2, 17, 709. Prime factorization of 24106 in exponential form is:

24106 = 2¹ × 17¹ × 709¹

Step-2: Prime Factorization of 24123

Prime factors of 24123 are 3, 11, 17, 43. Prime factorization of 24123 in exponential form is:

24123 = 3¹ × 11¹ × 17¹ × 43¹

Step-3: Factors of 24106

List of positive integer factors of 24106 that divides 24106 without a remainder.

1, 2, 17, 34, 709, 1418, 12053

Step-4: Factors of 24123

List of positive integer factors of 24123 that divides 24106 without a remainder.

1, 3, 11, 17, 33, 43, 51, 129, 187, 473, 561, 731, 1419, 2193, 8041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24106 and 24123. The biggest common factor number is the GCF number.
So the greatest common factor 24106 and 24123 is 17.

Also check out the Least Common Multiple of 24106 and 24123