What is the Greatest Common Factor of 5530 and 5544?

Greatest common factor (GCF) of 5530 and 5544 is 14.

GCF(5530,5544) = 14

We will now calculate the prime factors of 5530 and 5544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5530 and 5544.

How to find the GCF of 5530 and 5544?

We will first find the prime factorization of 5530 and 5544. After we will calculate the factors of 5530 and 5544 and find the biggest common factor number .

Step-1: Prime Factorization of 5530

Prime factors of 5530 are 2, 5, 7, 79. Prime factorization of 5530 in exponential form is:

5530 = 2¹ × 5¹ × 7¹ × 79¹

Step-2: Prime Factorization of 5544

Prime factors of 5544 are 2, 3, 7, 11. Prime factorization of 5544 in exponential form is:

5544 = 2³ × 3² × 7¹ × 11¹

Step-3: Factors of 5530

List of positive integer factors of 5530 that divides 5530 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 79, 158, 395, 553, 790, 1106, 2765

Step-4: Factors of 5544

List of positive integer factors of 5544 that divides 5530 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 18, 21, 22, 24, 28, 33, 36, 42, 44, 56, 63, 66, 72, 77, 84, 88, 99, 126, 132, 154, 168, 198, 231, 252, 264, 308, 396, 462, 504, 616, 693, 792, 924, 1386, 1848, 2772

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5530 and 5544. The biggest common factor number is the GCF number.
So the greatest common factor 5530 and 5544 is 14.

Also check out the Least Common Multiple of 5530 and 5544