What is the Greatest Common Factor of 5506 and 5526?

Greatest common factor (GCF) of 5506 and 5526 is 2.

GCF(5506,5526) = 2

We will now calculate the prime factors of 5506 and 5526, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5506 and 5526.

How to find the GCF of 5506 and 5526?

We will first find the prime factorization of 5506 and 5526. After we will calculate the factors of 5506 and 5526 and find the biggest common factor number .

Step-1: Prime Factorization of 5506

Prime factors of 5506 are 2, 2753. Prime factorization of 5506 in exponential form is:

5506 = 2¹ × 2753¹

Step-2: Prime Factorization of 5526

Prime factors of 5526 are 2, 3, 307. Prime factorization of 5526 in exponential form is:

5526 = 2¹ × 3² × 307¹

Step-3: Factors of 5506

List of positive integer factors of 5506 that divides 5506 without a remainder.

1, 2, 2753

Step-4: Factors of 5526

List of positive integer factors of 5526 that divides 5506 without a remainder.

1, 2, 3, 6, 9, 18, 307, 614, 921, 1842, 2763

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5506 and 5526. The biggest common factor number is the GCF number.
So the greatest common factor 5506 and 5526 is 2.

Also check out the Least Common Multiple of 5506 and 5526