What is the Greatest Common Factor of 5523 and 5538?

Greatest common factor (GCF) of 5523 and 5538 is 3.

GCF(5523,5538) = 3

We will now calculate the prime factors of 5523 and 5538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5523 and 5538.

How to find the GCF of 5523 and 5538?

We will first find the prime factorization of 5523 and 5538. After we will calculate the factors of 5523 and 5538 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 5538

Prime factors of 5538 are 2, 3, 13, 71. Prime factorization of 5538 in exponential form is:

5538 = 2¹ × 3¹ × 13¹ × 71¹

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 5538

List of positive integer factors of 5538 that divides 5523 without a remainder.

1, 2, 3, 6, 13, 26, 39, 71, 78, 142, 213, 426, 923, 1846, 2769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5523 and 5538. The biggest common factor number is the GCF number.
So the greatest common factor 5523 and 5538 is 3.

Also check out the Least Common Multiple of 5523 and 5538