What is the Greatest Common Factor of 5538 and 5550?

Greatest common factor (GCF) of 5538 and 5550 is 6.

GCF(5538,5550) = 6

We will now calculate the prime factors of 5538 and 5550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5538 and 5550.

How to find the GCF of 5538 and 5550?

We will first find the prime factorization of 5538 and 5550. After we will calculate the factors of 5538 and 5550 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 5550

Prime factors of 5550 are 2, 3, 5, 37. Prime factorization of 5550 in exponential form is:

5550 = 2¹ × 3¹ × 5² × 37¹

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 5550

List of positive integer factors of 5550 that divides 5538 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 37, 50, 74, 75, 111, 150, 185, 222, 370, 555, 925, 1110, 1850, 2775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5538 and 5550. The biggest common factor number is the GCF number.
So the greatest common factor 5538 and 5550 is 6.

Also check out the Least Common Multiple of 5538 and 5550