What is the Greatest Common Factor of 24159 and 24177?

Greatest common factor (GCF) of 24159 and 24177 is 3.

GCF(24159,24177) = 3

We will now calculate the prime factors of 24159 and 24177, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24159 and 24177.

How to find the GCF of 24159 and 24177?

We will first find the prime factorization of 24159 and 24177. After we will calculate the factors of 24159 and 24177 and find the biggest common factor number .

Step-1: Prime Factorization of 24159

Prime factors of 24159 are 3, 8053. Prime factorization of 24159 in exponential form is:

24159 = 3¹ × 8053¹

Step-2: Prime Factorization of 24177

Prime factors of 24177 are 3, 8059. Prime factorization of 24177 in exponential form is:

24177 = 3¹ × 8059¹

Step-3: Factors of 24159

List of positive integer factors of 24159 that divides 24159 without a remainder.

1, 3, 8053

Step-4: Factors of 24177

List of positive integer factors of 24177 that divides 24159 without a remainder.

1, 3, 8059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24159 and 24177. The biggest common factor number is the GCF number.
So the greatest common factor 24159 and 24177 is 3.

Also check out the Least Common Multiple of 24159 and 24177