What is the Greatest Common Factor of 23769 and 23787?

Greatest common factor (GCF) of 23769 and 23787 is 9.

GCF(23769,23787) = 9

We will now calculate the prime factors of 23769 and 23787, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23769 and 23787.

How to find the GCF of 23769 and 23787?

We will first find the prime factorization of 23769 and 23787. After we will calculate the factors of 23769 and 23787 and find the biggest common factor number .

Step-1: Prime Factorization of 23769

Prime factors of 23769 are 3, 19, 139. Prime factorization of 23769 in exponential form is:

23769 = 3² × 19¹ × 139¹

Step-2: Prime Factorization of 23787

Prime factors of 23787 are 3, 881. Prime factorization of 23787 in exponential form is:

23787 = 3³ × 881¹

Step-3: Factors of 23769

List of positive integer factors of 23769 that divides 23769 without a remainder.

1, 3, 9, 19, 57, 139, 171, 417, 1251, 2641, 7923

Step-4: Factors of 23787

List of positive integer factors of 23787 that divides 23769 without a remainder.

1, 3, 9, 27, 881, 2643, 7929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23769 and 23787. The biggest common factor number is the GCF number.
So the greatest common factor 23769 and 23787 is 9.

Also check out the Least Common Multiple of 23769 and 23787