What is the Greatest Common Factor of 5523 and 5541?

Greatest common factor (GCF) of 5523 and 5541 is 3.

GCF(5523,5541) = 3

We will now calculate the prime factors of 5523 and 5541, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5523 and 5541.

How to find the GCF of 5523 and 5541?

We will first find the prime factorization of 5523 and 5541. After we will calculate the factors of 5523 and 5541 and find the biggest common factor number .

Step-1: Prime Factorization of 5523

Prime factors of 5523 are 3, 7, 263. Prime factorization of 5523 in exponential form is:

5523 = 3¹ × 7¹ × 263¹

Step-2: Prime Factorization of 5541

Prime factors of 5541 are 3, 1847. Prime factorization of 5541 in exponential form is:

5541 = 3¹ × 1847¹

Step-3: Factors of 5523

List of positive integer factors of 5523 that divides 5523 without a remainder.

1, 3, 7, 21, 263, 789, 1841

Step-4: Factors of 5541

List of positive integer factors of 5541 that divides 5523 without a remainder.

1, 3, 1847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5523 and 5541. The biggest common factor number is the GCF number.
So the greatest common factor 5523 and 5541 is 3.

Also check out the Least Common Multiple of 5523 and 5541