What is the Greatest Common Factor of 11523 and 11529?

Greatest common factor (GCF) of 11523 and 11529 is 3.

GCF(11523,11529) = 3

We will now calculate the prime factors of 11523 and 11529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11523 and 11529.

How to find the GCF of 11523 and 11529?

We will first find the prime factorization of 11523 and 11529. After we will calculate the factors of 11523 and 11529 and find the biggest common factor number .

Step-1: Prime Factorization of 11523

Prime factors of 11523 are 3, 23, 167. Prime factorization of 11523 in exponential form is:

11523 = 3¹ × 23¹ × 167¹

Step-2: Prime Factorization of 11529

Prime factors of 11529 are 3, 7, 61. Prime factorization of 11529 in exponential form is:

11529 = 3³ × 7¹ × 61¹

Step-3: Factors of 11523

List of positive integer factors of 11523 that divides 11523 without a remainder.

1, 3, 23, 69, 167, 501, 3841

Step-4: Factors of 11529

List of positive integer factors of 11529 that divides 11523 without a remainder.

1, 3, 7, 9, 21, 27, 61, 63, 183, 189, 427, 549, 1281, 1647, 3843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11523 and 11529. The biggest common factor number is the GCF number.
So the greatest common factor 11523 and 11529 is 3.

Also check out the Least Common Multiple of 11523 and 11529