What is the Greatest Common Factor of 5552 and 5564?

Greatest common factor (GCF) of 5552 and 5564 is 4.

GCF(5552,5564) = 4

We will now calculate the prime factors of 5552 and 5564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5552 and 5564.

How to find the GCF of 5552 and 5564?

We will first find the prime factorization of 5552 and 5564. After we will calculate the factors of 5552 and 5564 and find the biggest common factor number .

Step-1: Prime Factorization of 5552

Prime factors of 5552 are 2, 347. Prime factorization of 5552 in exponential form is:

5552 = 2⁴ × 347¹

Step-2: Prime Factorization of 5564

Prime factors of 5564 are 2, 13, 107. Prime factorization of 5564 in exponential form is:

5564 = 2² × 13¹ × 107¹

Step-3: Factors of 5552

List of positive integer factors of 5552 that divides 5552 without a remainder.

1, 2, 4, 8, 16, 347, 694, 1388, 2776

Step-4: Factors of 5564

List of positive integer factors of 5564 that divides 5552 without a remainder.

1, 2, 4, 13, 26, 52, 107, 214, 428, 1391, 2782

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5552 and 5564. The biggest common factor number is the GCF number.
So the greatest common factor 5552 and 5564 is 4.

Also check out the Least Common Multiple of 5552 and 5564