What is the Greatest Common Factor of 5524 and 5544?

Greatest common factor (GCF) of 5524 and 5544 is 4.

GCF(5524,5544) = 4

We will now calculate the prime factors of 5524 and 5544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5524 and 5544.

How to find the GCF of 5524 and 5544?

We will first find the prime factorization of 5524 and 5544. After we will calculate the factors of 5524 and 5544 and find the biggest common factor number .

Step-1: Prime Factorization of 5524

Prime factors of 5524 are 2, 1381. Prime factorization of 5524 in exponential form is:

5524 = 2² × 1381¹

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 5524

List of positive integer factors of 5524 that divides 5524 without a remainder.

1, 2, 4, 1381, 2762

Step-4: Factors of 5544

List of positive integer factors of 5544 that divides 5524 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 5524 and 5544. The biggest common factor number is the GCF number.
So the greatest common factor 5524 and 5544 is 4.

Also check out the Least Common Multiple of 5524 and 5544