What is the Greatest Common Factor of 5504 and 5514?

Greatest common factor (GCF) of 5504 and 5514 is 2.

GCF(5504,5514) = 2

We will now calculate the prime factors of 5504 and 5514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5504 and 5514.

How to find the GCF of 5504 and 5514?

We will first find the prime factorization of 5504 and 5514. After we will calculate the factors of 5504 and 5514 and find the biggest common factor number .

Step-1: Prime Factorization of 5504

Prime factors of 5504 are 2, 43. Prime factorization of 5504 in exponential form is:

5504 = 2⁷ × 43¹

Step-2: Prime Factorization of 5514

Prime factors of 5514 are 2, 3, 919. Prime factorization of 5514 in exponential form is:

5514 = 2¹ × 3¹ × 919¹

Step-3: Factors of 5504

List of positive integer factors of 5504 that divides 5504 without a remainder.

1, 2, 4, 8, 16, 32, 43, 64, 86, 128, 172, 344, 688, 1376, 2752

Step-4: Factors of 5514

List of positive integer factors of 5514 that divides 5504 without a remainder.

1, 2, 3, 6, 919, 1838, 2757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5504 and 5514. The biggest common factor number is the GCF number.
So the greatest common factor 5504 and 5514 is 2.

Also check out the Least Common Multiple of 5504 and 5514