What is the Greatest Common Factor of 11528 and 11541?

Greatest common factor (GCF) of 11528 and 11541 is 1.

GCF(11528,11541) = 1

We will now calculate the prime factors of 11528 and 11541, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11528 and 11541.

How to find the GCF of 11528 and 11541?

We will first find the prime factorization of 11528 and 11541. After we will calculate the factors of 11528 and 11541 and find the biggest common factor number .

Step-1: Prime Factorization of 11528

Prime factors of 11528 are 2, 11, 131. Prime factorization of 11528 in exponential form is:

11528 = 2³ × 11¹ × 131¹

Step-2: Prime Factorization of 11541

Prime factors of 11541 are 3, 3847. Prime factorization of 11541 in exponential form is:

11541 = 3¹ × 3847¹

Step-3: Factors of 11528

List of positive integer factors of 11528 that divides 11528 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 131, 262, 524, 1048, 1441, 2882, 5764

Step-4: Factors of 11541

List of positive integer factors of 11541 that divides 11528 without a remainder.

1, 3, 3847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11528 and 11541. The biggest common factor number is the GCF number.
So the greatest common factor 11528 and 11541 is 1.

Also check out the Least Common Multiple of 11528 and 11541