What is the Greatest Common Factor of 18688 and 18705?

Greatest common factor (GCF) of 18688 and 18705 is 1.

GCF(18688,18705) = 1

We will now calculate the prime factors of 18688 and 18705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18688 and 18705.

How to find the GCF of 18688 and 18705?

We will first find the prime factorization of 18688 and 18705. After we will calculate the factors of 18688 and 18705 and find the biggest common factor number .

Step-1: Prime Factorization of 18688

Prime factors of 18688 are 2, 73. Prime factorization of 18688 in exponential form is:

18688 = 2⁸ × 73¹

Step-2: 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-3: Factors of 18688

List of positive integer factors of 18688 that divides 18688 without a remainder.

1, 2, 4, 8, 16, 32, 64, 73, 128, 146, 256, 292, 584, 1168, 2336, 4672, 9344

Step-4: Factors of 18705

List of positive integer factors of 18705 that divides 18688 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18688 and 18705. The biggest common factor number is the GCF number.
So the greatest common factor 18688 and 18705 is 1.

Also check out the Least Common Multiple of 18688 and 18705