What is the Greatest Common Factor of 5508 and 5525?

Greatest common factor (GCF) of 5508 and 5525 is 17.

GCF(5508,5525) = 17

We will now calculate the prime factors of 5508 and 5525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5508 and 5525.

How to find the GCF of 5508 and 5525?

We will first find the prime factorization of 5508 and 5525. After we will calculate the factors of 5508 and 5525 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 5525

Prime factors of 5525 are 5, 13, 17. Prime factorization of 5525 in exponential form is:

5525 = 5² × 13¹ × 17¹

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 5525

List of positive integer factors of 5525 that divides 5508 without a remainder.

1, 5, 13, 17, 25, 65, 85, 221, 325, 425, 1105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5508 and 5525. The biggest common factor number is the GCF number.
So the greatest common factor 5508 and 5525 is 17.

Also check out the Least Common Multiple of 5508 and 5525