What is the Greatest Common Factor of 24144 and 24163?

Greatest common factor (GCF) of 24144 and 24163 is 1.

GCF(24144,24163) = 1

We will now calculate the prime factors of 24144 and 24163, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24144 and 24163.

How to find the GCF of 24144 and 24163?

We will first find the prime factorization of 24144 and 24163. After we will calculate the factors of 24144 and 24163 and find the biggest common factor number .

Step-1: Prime Factorization of 24144

Prime factors of 24144 are 2, 3, 503. Prime factorization of 24144 in exponential form is:

24144 = 2⁴ × 3¹ × 503¹

Step-2: Prime Factorization of 24163

Prime factors of 24163 are 73, 331. Prime factorization of 24163 in exponential form is:

24163 = 73¹ × 331¹

Step-3: Factors of 24144

List of positive integer factors of 24144 that divides 24144 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 503, 1006, 1509, 2012, 3018, 4024, 6036, 8048, 12072

Step-4: Factors of 24163

List of positive integer factors of 24163 that divides 24144 without a remainder.

1, 73, 331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24144 and 24163. The biggest common factor number is the GCF number.
So the greatest common factor 24144 and 24163 is 1.

Also check out the Least Common Multiple of 24144 and 24163