What is the Greatest Common Factor of 27693 and 27699?

Greatest common factor (GCF) of 27693 and 27699 is 3.

GCF(27693,27699) = 3

We will now calculate the prime factors of 27693 and 27699, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27693 and 27699.

How to find the GCF of 27693 and 27699?

We will first find the prime factorization of 27693 and 27699. After we will calculate the factors of 27693 and 27699 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 27699

Prime factors of 27699 are 3, 7, 1319. Prime factorization of 27699 in exponential form is:

27699 = 3¹ × 7¹ × 1319¹

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 27699

List of positive integer factors of 27699 that divides 27693 without a remainder.

1, 3, 7, 21, 1319, 3957, 9233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27693 and 27699. The biggest common factor number is the GCF number.
So the greatest common factor 27693 and 27699 is 3.

Also check out the Least Common Multiple of 27693 and 27699