What is the Greatest Common Factor of 5538 and 5547?

Greatest common factor (GCF) of 5538 and 5547 is 3.

GCF(5538,5547) = 3

We will now calculate the prime factors of 5538 and 5547, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5538 and 5547.

How to find the GCF of 5538 and 5547?

We will first find the prime factorization of 5538 and 5547. After we will calculate the factors of 5538 and 5547 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 5547

Prime factors of 5547 are 3, 43. Prime factorization of 5547 in exponential form is:

5547 = 3¹ × 43²

Step-3: Factors of 5538

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

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

Step-4: Factors of 5547

List of positive integer factors of 5547 that divides 5538 without a remainder.

1, 3, 43, 129, 1849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5538 and 5547. The biggest common factor number is the GCF number.
So the greatest common factor 5538 and 5547 is 3.

Also check out the Least Common Multiple of 5538 and 5547