What is the Greatest Common Factor of 27702 and 27717?

Greatest common factor (GCF) of 27702 and 27717 is 3.

GCF(27702,27717) = 3

We will now calculate the prime factors of 27702 and 27717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27702 and 27717.

How to find the GCF of 27702 and 27717?

We will first find the prime factorization of 27702 and 27717. After we will calculate the factors of 27702 and 27717 and find the biggest common factor number .

Step-1: Prime Factorization of 27702

Prime factors of 27702 are 2, 3, 19. Prime factorization of 27702 in exponential form is:

27702 = 2¹ × 3⁶ × 19¹

Step-2: Prime Factorization of 27717

Prime factors of 27717 are 3, 9239. Prime factorization of 27717 in exponential form is:

27717 = 3¹ × 9239¹

Step-3: Factors of 27702

List of positive integer factors of 27702 that divides 27702 without a remainder.

1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 81, 114, 162, 171, 243, 342, 486, 513, 729, 1026, 1458, 1539, 3078, 4617, 9234, 13851

Step-4: Factors of 27717

List of positive integer factors of 27717 that divides 27702 without a remainder.

1, 3, 9239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27702 and 27717. The biggest common factor number is the GCF number.
So the greatest common factor 27702 and 27717 is 3.

Also check out the Least Common Multiple of 27702 and 27717