What is the Greatest Common Factor of 5564 and 5577?

Greatest common factor (GCF) of 5564 and 5577 is 13.

GCF(5564,5577) = 13

We will now calculate the prime factors of 5564 and 5577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5564 and 5577.

How to find the GCF of 5564 and 5577?

We will first find the prime factorization of 5564 and 5577. After we will calculate the factors of 5564 and 5577 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 5577

Prime factors of 5577 are 3, 11, 13. Prime factorization of 5577 in exponential form is:

5577 = 3¹ × 11¹ × 13²

Step-3: Factors of 5564

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

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

Step-4: Factors of 5577

List of positive integer factors of 5577 that divides 5564 without a remainder.

1, 3, 11, 13, 33, 39, 143, 169, 429, 507, 1859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5564 and 5577. The biggest common factor number is the GCF number.
So the greatest common factor 5564 and 5577 is 13.

Also check out the Least Common Multiple of 5564 and 5577