What is the Greatest Common Factor of 27702 and 27711?

Greatest common factor (GCF) of 27702 and 27711 is 9.

GCF(27702,27711) = 9

We will now calculate the prime factors of 27702 and 27711, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27702 and 27711.

How to find the GCF of 27702 and 27711?

We will first find the prime factorization of 27702 and 27711. After we will calculate the factors of 27702 and 27711 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 27711

Prime factors of 27711 are 3, 3079. Prime factorization of 27711 in exponential form is:

27711 = 3² × 3079¹

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 27711

List of positive integer factors of 27711 that divides 27702 without a remainder.

1, 3, 9, 3079, 9237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27702 and 27711. The biggest common factor number is the GCF number.
So the greatest common factor 27702 and 27711 is 9.

Also check out the Least Common Multiple of 27702 and 27711