What is the Greatest Common Factor of 11514 and 11523?

Greatest common factor (GCF) of 11514 and 11523 is 3.

GCF(11514,11523) = 3

We will now calculate the prime factors of 11514 and 11523, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11514 and 11523.

How to find the GCF of 11514 and 11523?

We will first find the prime factorization of 11514 and 11523. After we will calculate the factors of 11514 and 11523 and find the biggest common factor number .

Step-1: Prime Factorization of 11514

Prime factors of 11514 are 2, 3, 19, 101. Prime factorization of 11514 in exponential form is:

11514 = 2¹ × 3¹ × 19¹ × 101¹

Step-2: 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-3: Factors of 11514

List of positive integer factors of 11514 that divides 11514 without a remainder.

1, 2, 3, 6, 19, 38, 57, 101, 114, 202, 303, 606, 1919, 3838, 5757

Step-4: Factors of 11523

List of positive integer factors of 11523 that divides 11514 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11514 and 11523. The biggest common factor number is the GCF number.
So the greatest common factor 11514 and 11523 is 3.

Also check out the Least Common Multiple of 11514 and 11523