What is the Greatest Common Factor of 5544 and 5555?

Greatest common factor (GCF) of 5544 and 5555 is 11.

GCF(5544,5555) = 11

We will now calculate the prime factors of 5544 and 5555, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5544 and 5555.

How to find the GCF of 5544 and 5555?

We will first find the prime factorization of 5544 and 5555. After we will calculate the factors of 5544 and 5555 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 5555

Prime factors of 5555 are 5, 11, 101. Prime factorization of 5555 in exponential form is:

5555 = 5¹ × 11¹ × 101¹

Step-3: Factors of 5544

List of positive integer factors of 5544 that divides 5544 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

Step-4: Factors of 5555

List of positive integer factors of 5555 that divides 5544 without a remainder.

1, 5, 11, 55, 101, 505, 1111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5544 and 5555. The biggest common factor number is the GCF number.
So the greatest common factor 5544 and 5555 is 11.

Also check out the Least Common Multiple of 5544 and 5555