What is the Greatest Common Factor of 5508 and 5519?

Greatest common factor (GCF) of 5508 and 5519 is 1.

GCF(5508,5519) = 1

We will now calculate the prime factors of 5508 and 5519, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5508 and 5519.

How to find the GCF of 5508 and 5519?

We will first find the prime factorization of 5508 and 5519. After we will calculate the factors of 5508 and 5519 and find the biggest common factor number .

Step-1: Prime Factorization of 5508

Prime factors of 5508 are 2, 3, 17. Prime factorization of 5508 in exponential form is:

5508 = 2² × 3⁴ × 17¹

Step-2: Prime Factorization of 5519

Prime factors of 5519 are 5519. Prime factorization of 5519 in exponential form is:

5519 = 5519¹

Step-3: Factors of 5508

List of positive integer factors of 5508 that divides 5508 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 34, 36, 51, 54, 68, 81, 102, 108, 153, 162, 204, 306, 324, 459, 612, 918, 1377, 1836, 2754

Step-4: Factors of 5519

List of positive integer factors of 5519 that divides 5508 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5508 and 5519. The biggest common factor number is the GCF number.
So the greatest common factor 5508 and 5519 is 1.

Also check out the Least Common Multiple of 5508 and 5519