What is the Greatest Common Factor of 11352 and 11363?

Greatest common factor (GCF) of 11352 and 11363 is 11.

GCF(11352,11363) = 11

We will now calculate the prime factors of 11352 and 11363, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11352 and 11363.

How to find the GCF of 11352 and 11363?

We will first find the prime factorization of 11352 and 11363. After we will calculate the factors of 11352 and 11363 and find the biggest common factor number .

Step-1: Prime Factorization of 11352

Prime factors of 11352 are 2, 3, 11, 43. Prime factorization of 11352 in exponential form is:

11352 = 2³ × 3¹ × 11¹ × 43¹

Step-2: Prime Factorization of 11363

Prime factors of 11363 are 11, 1033. Prime factorization of 11363 in exponential form is:

11363 = 11¹ × 1033¹

Step-3: Factors of 11352

List of positive integer factors of 11352 that divides 11352 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 43, 44, 66, 86, 88, 129, 132, 172, 258, 264, 344, 473, 516, 946, 1032, 1419, 1892, 2838, 3784, 5676

Step-4: Factors of 11363

List of positive integer factors of 11363 that divides 11352 without a remainder.

1, 11, 1033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11352 and 11363. The biggest common factor number is the GCF number.
So the greatest common factor 11352 and 11363 is 11.

Also check out the Least Common Multiple of 11352 and 11363