What is the Greatest Common Factor of 27556 and 27568?

Greatest common factor (GCF) of 27556 and 27568 is 4.

GCF(27556,27568) = 4

We will now calculate the prime factors of 27556 and 27568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27556 and 27568.

How to find the GCF of 27556 and 27568?

We will first find the prime factorization of 27556 and 27568. After we will calculate the factors of 27556 and 27568 and find the biggest common factor number .

Step-1: Prime Factorization of 27556

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

27556 = 2² × 83²

Step-2: Prime Factorization of 27568

Prime factors of 27568 are 2, 1723. Prime factorization of 27568 in exponential form is:

27568 = 2⁴ × 1723¹

Step-3: Factors of 27556

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

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

Step-4: Factors of 27568

List of positive integer factors of 27568 that divides 27556 without a remainder.

1, 2, 4, 8, 16, 1723, 3446, 6892, 13784

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27556 and 27568. The biggest common factor number is the GCF number.
So the greatest common factor 27556 and 27568 is 4.

Also check out the Least Common Multiple of 27556 and 27568