What is the Greatest Common Factor of 27544 and 27556?

Greatest common factor (GCF) of 27544 and 27556 is 4.

GCF(27544,27556) = 4

We will now calculate the prime factors of 27544 and 27556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27544 and 27556.

How to find the GCF of 27544 and 27556?

We will first find the prime factorization of 27544 and 27556. After we will calculate the factors of 27544 and 27556 and find the biggest common factor number .

Step-1: Prime Factorization of 27544

Prime factors of 27544 are 2, 11, 313. Prime factorization of 27544 in exponential form is:

27544 = 2³ × 11¹ × 313¹

Step-2: Prime Factorization of 27556

Prime factors of 27556 are 2, 83. Prime factorization of 27556 in exponential form is:

27556 = 2² × 83²

Step-3: Factors of 27544

List of positive integer factors of 27544 that divides 27544 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 313, 626, 1252, 2504, 3443, 6886, 13772

Step-4: Factors of 27556

List of positive integer factors of 27556 that divides 27544 without a remainder.

1, 2, 4, 83, 166, 332, 6889, 13778

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27544 and 27556. The biggest common factor number is the GCF number.
So the greatest common factor 27544 and 27556 is 4.

Also check out the Least Common Multiple of 27544 and 27556