What is the Greatest Common Factor of 18705 and 18711?

Greatest common factor (GCF) of 18705 and 18711 is 3.

GCF(18705,18711) = 3

We will now calculate the prime factors of 18705 and 18711, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18705 and 18711.

How to find the GCF of 18705 and 18711?

We will first find the prime factorization of 18705 and 18711. After we will calculate the factors of 18705 and 18711 and find the biggest common factor number .

Step-1: Prime Factorization of 18705

Prime factors of 18705 are 3, 5, 29, 43. Prime factorization of 18705 in exponential form is:

18705 = 3¹ × 5¹ × 29¹ × 43¹

Step-2: Prime Factorization of 18711

Prime factors of 18711 are 3, 7, 11. Prime factorization of 18711 in exponential form is:

18711 = 3⁵ × 7¹ × 11¹

Step-3: Factors of 18705

List of positive integer factors of 18705 that divides 18705 without a remainder.

1, 3, 5, 15, 29, 43, 87, 129, 145, 215, 435, 645, 1247, 3741, 6235

Step-4: Factors of 18711

List of positive integer factors of 18711 that divides 18705 without a remainder.

1, 3, 7, 9, 11, 21, 27, 33, 63, 77, 81, 99, 189, 231, 243, 297, 567, 693, 891, 1701, 2079, 2673, 6237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18705 and 18711. The biggest common factor number is the GCF number.
So the greatest common factor 18705 and 18711 is 3.

Also check out the Least Common Multiple of 18705 and 18711