What is the Greatest Common Factor of 18228 and 18247?

Greatest common factor (GCF) of 18228 and 18247 is 1.

GCF(18228,18247) = 1

We will now calculate the prime factors of 18228 and 18247, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18228 and 18247.

How to find the GCF of 18228 and 18247?

We will first find the prime factorization of 18228 and 18247. After we will calculate the factors of 18228 and 18247 and find the biggest common factor number .

Step-1: Prime Factorization of 18228

Prime factors of 18228 are 2, 3, 7, 31. Prime factorization of 18228 in exponential form is:

18228 = 2² × 3¹ × 7² × 31¹

Step-2: Prime Factorization of 18247

Prime factors of 18247 are 71, 257. Prime factorization of 18247 in exponential form is:

18247 = 71¹ × 257¹

Step-3: Factors of 18228

List of positive integer factors of 18228 that divides 18228 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 31, 42, 49, 62, 84, 93, 98, 124, 147, 186, 196, 217, 294, 372, 434, 588, 651, 868, 1302, 1519, 2604, 3038, 4557, 6076, 9114

Step-4: Factors of 18247

List of positive integer factors of 18247 that divides 18228 without a remainder.

1, 71, 257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18228 and 18247. The biggest common factor number is the GCF number.
So the greatest common factor 18228 and 18247 is 1.

Also check out the Least Common Multiple of 18228 and 18247