What is the Greatest Common Factor of 5538 and 5551?

Greatest common factor (GCF) of 5538 and 5551 is 13.

GCF(5538,5551) = 13

We will now calculate the prime factors of 5538 and 5551, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5538 and 5551.

How to find the GCF of 5538 and 5551?

We will first find the prime factorization of 5538 and 5551. After we will calculate the factors of 5538 and 5551 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 5551

Prime factors of 5551 are 7, 13, 61. Prime factorization of 5551 in exponential form is:

5551 = 7¹ × 13¹ × 61¹

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 5551

List of positive integer factors of 5551 that divides 5538 without a remainder.

1, 7, 13, 61, 91, 427, 793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5538 and 5551. The biggest common factor number is the GCF number.
So the greatest common factor 5538 and 5551 is 13.

Also check out the Least Common Multiple of 5538 and 5551