What is the Greatest Common Factor of 18705 and 18709?

Greatest common factor (GCF) of 18705 and 18709 is 1.

GCF(18705,18709) = 1

We will now calculate the prime factors of 18705 and 18709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18705 and 18709.

How to find the GCF of 18705 and 18709?

We will first find the prime factorization of 18705 and 18709. After we will calculate the factors of 18705 and 18709 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 18709

Prime factors of 18709 are 53, 353. Prime factorization of 18709 in exponential form is:

18709 = 53¹ × 353¹

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 18709

List of positive integer factors of 18709 that divides 18705 without a remainder.

1, 53, 353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18705 and 18709. The biggest common factor number is the GCF number.
So the greatest common factor 18705 and 18709 is 1.

Also check out the Least Common Multiple of 18705 and 18709