What is the Greatest Common Factor of 27710 and 27721?

Greatest common factor (GCF) of 27710 and 27721 is 1.

GCF(27710,27721) = 1

We will now calculate the prime factors of 27710 and 27721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27710 and 27721.

How to find the GCF of 27710 and 27721?

We will first find the prime factorization of 27710 and 27721. After we will calculate the factors of 27710 and 27721 and find the biggest common factor number .

Step-1: Prime Factorization of 27710

Prime factors of 27710 are 2, 5, 17, 163. Prime factorization of 27710 in exponential form is:

27710 = 2¹ × 5¹ × 17¹ × 163¹

Step-2: Prime Factorization of 27721

Prime factors of 27721 are 19, 1459. Prime factorization of 27721 in exponential form is:

27721 = 19¹ × 1459¹

Step-3: Factors of 27710

List of positive integer factors of 27710 that divides 27710 without a remainder.

1, 2, 5, 10, 17, 34, 85, 163, 170, 326, 815, 1630, 2771, 5542, 13855

Step-4: Factors of 27721

List of positive integer factors of 27721 that divides 27710 without a remainder.

1, 19, 1459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27710 and 27721. The biggest common factor number is the GCF number.
So the greatest common factor 27710 and 27721 is 1.

Also check out the Least Common Multiple of 27710 and 27721