What is the Greatest Common Factor of 27693 and 27710?

Greatest common factor (GCF) of 27693 and 27710 is 17.

GCF(27693,27710) = 17

We will now calculate the prime factors of 27693 and 27710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27693 and 27710.

How to find the GCF of 27693 and 27710?

We will first find the prime factorization of 27693 and 27710. After we will calculate the factors of 27693 and 27710 and find the biggest common factor number .

Step-1: Prime Factorization of 27693

Prime factors of 27693 are 3, 17, 181. Prime factorization of 27693 in exponential form is:

27693 = 3² × 17¹ × 181¹

Step-2: 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-3: Factors of 27693

List of positive integer factors of 27693 that divides 27693 without a remainder.

1, 3, 9, 17, 51, 153, 181, 543, 1629, 3077, 9231

Step-4: Factors of 27710

List of positive integer factors of 27710 that divides 27693 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27693 and 27710. The biggest common factor number is the GCF number.
So the greatest common factor 27693 and 27710 is 17.

Also check out the Least Common Multiple of 27693 and 27710