What is the Greatest Common Factor of 18705 and 18712?

Greatest common factor (GCF) of 18705 and 18712 is 1.

GCF(18705,18712) = 1

We will now calculate the prime factors of 18705 and 18712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18705 and 18712.

How to find the GCF of 18705 and 18712?

We will first find the prime factorization of 18705 and 18712. After we will calculate the factors of 18705 and 18712 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 18712

Prime factors of 18712 are 2, 2339. Prime factorization of 18712 in exponential form is:

18712 = 2³ × 2339¹

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 18712

List of positive integer factors of 18712 that divides 18705 without a remainder.

1, 2, 4, 8, 2339, 4678, 9356

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18705 and 18712. The biggest common factor number is the GCF number.
So the greatest common factor 18705 and 18712 is 1.

Also check out the Least Common Multiple of 18705 and 18712