What is the Greatest Common Factor of 5616 and 5620?

Greatest common factor (GCF) of 5616 and 5620 is 4.

GCF(5616,5620) = 4

We will now calculate the prime factors of 5616 and 5620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5616 and 5620.

How to find the GCF of 5616 and 5620?

We will first find the prime factorization of 5616 and 5620. After we will calculate the factors of 5616 and 5620 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 5620

Prime factors of 5620 are 2, 5, 281. Prime factorization of 5620 in exponential form is:

5620 = 2² × 5¹ × 281¹

Step-3: Factors of 5616

List of positive integer factors of 5616 that divides 5616 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

Step-4: Factors of 5620

List of positive integer factors of 5620 that divides 5616 without a remainder.

1, 2, 4, 5, 10, 20, 281, 562, 1124, 1405, 2810

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5616 and 5620. The biggest common factor number is the GCF number.
So the greatest common factor 5616 and 5620 is 4.

Also check out the Least Common Multiple of 5616 and 5620