What is the Greatest Common Factor of 5523 and 5535?

Greatest common factor (GCF) of 5523 and 5535 is 3.

GCF(5523,5535) = 3

We will now calculate the prime factors of 5523 and 5535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5523 and 5535.

How to find the GCF of 5523 and 5535?

We will first find the prime factorization of 5523 and 5535. After we will calculate the factors of 5523 and 5535 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 5535

Prime factors of 5535 are 3, 5, 41. Prime factorization of 5535 in exponential form is:

5535 = 3³ × 5¹ × 41¹

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 5535

List of positive integer factors of 5535 that divides 5523 without a remainder.

1, 3, 5, 9, 15, 27, 41, 45, 123, 135, 205, 369, 615, 1107, 1845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5523 and 5535. The biggest common factor number is the GCF number.
So the greatest common factor 5523 and 5535 is 3.

Also check out the Least Common Multiple of 5523 and 5535