What is the Greatest Common Factor of 5604 and 5616?

Greatest common factor (GCF) of 5604 and 5616 is 12.

GCF(5604,5616) = 12

We will now calculate the prime factors of 5604 and 5616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5604 and 5616.

How to find the GCF of 5604 and 5616?

We will first find the prime factorization of 5604 and 5616. After we will calculate the factors of 5604 and 5616 and find the biggest common factor number .

Step-1: Prime Factorization of 5604

Prime factors of 5604 are 2, 3, 467. Prime factorization of 5604 in exponential form is:

5604 = 2² × 3¹ × 467¹

Step-2: Prime Factorization of 5616

Prime factors of 5616 are 2, 3, 13. Prime factorization of 5616 in exponential form is:

5616 = 2⁴ × 3³ × 13¹

Step-3: Factors of 5604

List of positive integer factors of 5604 that divides 5604 without a remainder.

1, 2, 3, 4, 6, 12, 467, 934, 1401, 1868, 2802

Step-4: Factors of 5616

List of positive integer factors of 5616 that divides 5604 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 27, 36, 39, 48, 52, 54, 72, 78, 104, 108, 117, 144, 156, 208, 216, 234, 312, 351, 432, 468, 624, 702, 936, 1404, 1872, 2808

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5604 and 5616. The biggest common factor number is the GCF number.
So the greatest common factor 5604 and 5616 is 12.

Also check out the Least Common Multiple of 5604 and 5616