What is the Greatest Common Factor of 5538 and 5556?

Greatest common factor (GCF) of 5538 and 5556 is 6.

GCF(5538,5556) = 6

We will now calculate the prime factors of 5538 and 5556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5538 and 5556.

How to find the GCF of 5538 and 5556?

We will first find the prime factorization of 5538 and 5556. After we will calculate the factors of 5538 and 5556 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 5556

Prime factors of 5556 are 2, 3, 463. Prime factorization of 5556 in exponential form is:

5556 = 2² × 3¹ × 463¹

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 5556

List of positive integer factors of 5556 that divides 5538 without a remainder.

1, 2, 3, 4, 6, 12, 463, 926, 1389, 1852, 2778

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5538 and 5556. The biggest common factor number is the GCF number.
So the greatest common factor 5538 and 5556 is 6.

Also check out the Least Common Multiple of 5538 and 5556