What is the Greatest Common Factor of 5536 and 5552?

Greatest common factor (GCF) of 5536 and 5552 is 16.

GCF(5536,5552) = 16

We will now calculate the prime factors of 5536 and 5552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5536 and 5552.

How to find the GCF of 5536 and 5552?

We will first find the prime factorization of 5536 and 5552. After we will calculate the factors of 5536 and 5552 and find the biggest common factor number .

Step-1: Prime Factorization of 5536

Prime factors of 5536 are 2, 173. Prime factorization of 5536 in exponential form is:

5536 = 2⁵ × 173¹

Step-2: Prime Factorization of 5552

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

5552 = 2⁴ × 347¹

Step-3: Factors of 5536

List of positive integer factors of 5536 that divides 5536 without a remainder.

1, 2, 4, 8, 16, 32, 173, 346, 692, 1384, 2768

Step-4: Factors of 5552

List of positive integer factors of 5552 that divides 5536 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5536 and 5552. The biggest common factor number is the GCF number.
So the greatest common factor 5536 and 5552 is 16.

Also check out the Least Common Multiple of 5536 and 5552