What is the Greatest Common Factor of 5508 and 5517?

Greatest common factor (GCF) of 5508 and 5517 is 9.

GCF(5508,5517) = 9

We will now calculate the prime factors of 5508 and 5517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5508 and 5517.

How to find the GCF of 5508 and 5517?

We will first find the prime factorization of 5508 and 5517. After we will calculate the factors of 5508 and 5517 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 5517

Prime factors of 5517 are 3, 613. Prime factorization of 5517 in exponential form is:

5517 = 3² × 613¹

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 5517

List of positive integer factors of 5517 that divides 5508 without a remainder.

1, 3, 9, 613, 1839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5508 and 5517. The biggest common factor number is the GCF number.
So the greatest common factor 5508 and 5517 is 9.

Also check out the Least Common Multiple of 5508 and 5517