What is the Greatest Common Factor of 27589 and 27608?

Greatest common factor (GCF) of 27589 and 27608 is 1.

GCF(27589,27608) = 1

We will now calculate the prime factors of 27589 and 27608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27589 and 27608.

How to find the GCF of 27589 and 27608?

We will first find the prime factorization of 27589 and 27608. After we will calculate the factors of 27589 and 27608 and find the biggest common factor number .

Step-1: Prime Factorization of 27589

Prime factors of 27589 are 47, 587. Prime factorization of 27589 in exponential form is:

27589 = 47¹ × 587¹

Step-2: Prime Factorization of 27608

Prime factors of 27608 are 2, 7, 17, 29. Prime factorization of 27608 in exponential form is:

27608 = 2³ × 7¹ × 17¹ × 29¹

Step-3: Factors of 27589

List of positive integer factors of 27589 that divides 27589 without a remainder.

1, 47, 587

Step-4: Factors of 27608

List of positive integer factors of 27608 that divides 27589 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 29, 34, 56, 58, 68, 116, 119, 136, 203, 232, 238, 406, 476, 493, 812, 952, 986, 1624, 1972, 3451, 3944, 6902, 13804

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27589 and 27608. The biggest common factor number is the GCF number.
So the greatest common factor 27589 and 27608 is 1.

Also check out the Least Common Multiple of 27589 and 27608