What is the Greatest Common Factor of 11526 and 11543?

Greatest common factor (GCF) of 11526 and 11543 is 17.

GCF(11526,11543) = 17

We will now calculate the prime factors of 11526 and 11543, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11526 and 11543.

How to find the GCF of 11526 and 11543?

We will first find the prime factorization of 11526 and 11543. After we will calculate the factors of 11526 and 11543 and find the biggest common factor number .

Step-1: Prime Factorization of 11526

Prime factors of 11526 are 2, 3, 17, 113. Prime factorization of 11526 in exponential form is:

11526 = 2¹ × 3¹ × 17¹ × 113¹

Step-2: Prime Factorization of 11543

Prime factors of 11543 are 7, 17, 97. Prime factorization of 11543 in exponential form is:

11543 = 7¹ × 17¹ × 97¹

Step-3: Factors of 11526

List of positive integer factors of 11526 that divides 11526 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 113, 226, 339, 678, 1921, 3842, 5763

Step-4: Factors of 11543

List of positive integer factors of 11543 that divides 11526 without a remainder.

1, 7, 17, 97, 119, 679, 1649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11526 and 11543. The biggest common factor number is the GCF number.
So the greatest common factor 11526 and 11543 is 17.

Also check out the Least Common Multiple of 11526 and 11543