What is the Greatest Common Factor of 23991 and 24009?

Greatest common factor (GCF) of 23991 and 24009 is 3.

GCF(23991,24009) = 3

We will now calculate the prime factors of 23991 and 24009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23991 and 24009.

How to find the GCF of 23991 and 24009?

We will first find the prime factorization of 23991 and 24009. After we will calculate the factors of 23991 and 24009 and find the biggest common factor number .

Step-1: Prime Factorization of 23991

Prime factors of 23991 are 3, 11, 727. Prime factorization of 23991 in exponential form is:

23991 = 3¹ × 11¹ × 727¹

Step-2: Prime Factorization of 24009

Prime factors of 24009 are 3, 53, 151. Prime factorization of 24009 in exponential form is:

24009 = 3¹ × 53¹ × 151¹

Step-3: Factors of 23991

List of positive integer factors of 23991 that divides 23991 without a remainder.

1, 3, 11, 33, 727, 2181, 7997

Step-4: Factors of 24009

List of positive integer factors of 24009 that divides 23991 without a remainder.

1, 3, 53, 151, 159, 453, 8003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23991 and 24009. The biggest common factor number is the GCF number.
So the greatest common factor 23991 and 24009 is 3.

Also check out the Least Common Multiple of 23991 and 24009