What is the Greatest Common Factor of 24123 and 24131?

Greatest common factor (GCF) of 24123 and 24131 is 1.

GCF(24123,24131) = 1

We will now calculate the prime factors of 24123 and 24131, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24123 and 24131.

How to find the GCF of 24123 and 24131?

We will first find the prime factorization of 24123 and 24131. After we will calculate the factors of 24123 and 24131 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24131

Prime factors of 24131 are 59, 409. Prime factorization of 24131 in exponential form is:

24131 = 59¹ × 409¹

Step-3: Factors of 24123

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

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

Step-4: Factors of 24131

List of positive integer factors of 24131 that divides 24123 without a remainder.

1, 59, 409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24123 and 24131. The biggest common factor number is the GCF number.
So the greatest common factor 24123 and 24131 is 1.

Also check out the Least Common Multiple of 24123 and 24131