What is the Greatest Common Factor of 18705 and 18710?

Greatest common factor (GCF) of 18705 and 18710 is 5.

GCF(18705,18710) = 5

We will now calculate the prime factors of 18705 and 18710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18705 and 18710.

How to find the GCF of 18705 and 18710?

We will first find the prime factorization of 18705 and 18710. After we will calculate the factors of 18705 and 18710 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 18710

Prime factors of 18710 are 2, 5, 1871. Prime factorization of 18710 in exponential form is:

18710 = 2¹ × 5¹ × 1871¹

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 18710

List of positive integer factors of 18710 that divides 18705 without a remainder.

1, 2, 5, 10, 1871, 3742, 9355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18705 and 18710. The biggest common factor number is the GCF number.
So the greatest common factor 18705 and 18710 is 5.

Also check out the Least Common Multiple of 18705 and 18710