What is the Greatest Common Factor of 11536 and 11543?

Greatest common factor (GCF) of 11536 and 11543 is 7.

GCF(11536,11543) = 7

We will now calculate the prime factors of 11536 and 11543, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11536 and 11543.

How to find the GCF of 11536 and 11543?

We will first find the prime factorization of 11536 and 11543. After we will calculate the factors of 11536 and 11543 and find the biggest common factor number .

Step-1: Prime Factorization of 11536

Prime factors of 11536 are 2, 7, 103. Prime factorization of 11536 in exponential form is:

11536 = 2⁴ × 7¹ × 103¹

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 11536

List of positive integer factors of 11536 that divides 11536 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 103, 112, 206, 412, 721, 824, 1442, 1648, 2884, 5768

Step-4: Factors of 11543

List of positive integer factors of 11543 that divides 11536 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11536 and 11543. The biggest common factor number is the GCF number.
So the greatest common factor 11536 and 11543 is 7.

Also check out the Least Common Multiple of 11536 and 11543