What is the Greatest Common Factor of 23784 and 23791?

Greatest common factor (GCF) of 23784 and 23791 is 1.

GCF(23784,23791) = 1

We will now calculate the prime factors of 23784 and 23791, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23784 and 23791.

How to find the GCF of 23784 and 23791?

We will first find the prime factorization of 23784 and 23791. After we will calculate the factors of 23784 and 23791 and find the biggest common factor number .

Step-1: Prime Factorization of 23784

Prime factors of 23784 are 2, 3, 991. Prime factorization of 23784 in exponential form is:

23784 = 2³ × 3¹ × 991¹

Step-2: Prime Factorization of 23791

Prime factors of 23791 are 37, 643. Prime factorization of 23791 in exponential form is:

23791 = 37¹ × 643¹

Step-3: Factors of 23784

List of positive integer factors of 23784 that divides 23784 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 991, 1982, 2973, 3964, 5946, 7928, 11892

Step-4: Factors of 23791

List of positive integer factors of 23791 that divides 23784 without a remainder.

1, 37, 643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23784 and 23791. The biggest common factor number is the GCF number.
So the greatest common factor 23784 and 23791 is 1.

Also check out the Least Common Multiple of 23784 and 23791