What is the Greatest Common Factor of 5491 and 5508?

Greatest common factor (GCF) of 5491 and 5508 is 17.

GCF(5491,5508) = 17

We will now calculate the prime factors of 5491 and 5508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5491 and 5508.

How to find the GCF of 5491 and 5508?

We will first find the prime factorization of 5491 and 5508. After we will calculate the factors of 5491 and 5508 and find the biggest common factor number .

Step-1: Prime Factorization of 5491

Prime factors of 5491 are 17, 19. Prime factorization of 5491 in exponential form is:

5491 = 17² × 19¹

Step-2: 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-3: Factors of 5491

List of positive integer factors of 5491 that divides 5491 without a remainder.

1, 17, 19, 289, 323

Step-4: Factors of 5508

List of positive integer factors of 5508 that divides 5491 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5491 and 5508. The biggest common factor number is the GCF number.
So the greatest common factor 5491 and 5508 is 17.

Also check out the Least Common Multiple of 5491 and 5508