What is the Greatest Common Factor of 18228 and 18235?

Greatest common factor (GCF) of 18228 and 18235 is 7.

GCF(18228,18235) = 7

We will now calculate the prime factors of 18228 and 18235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18228 and 18235.

How to find the GCF of 18228 and 18235?

We will first find the prime factorization of 18228 and 18235. After we will calculate the factors of 18228 and 18235 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 18235

Prime factors of 18235 are 5, 7, 521. Prime factorization of 18235 in exponential form is:

18235 = 5¹ × 7¹ × 521¹

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 18235

List of positive integer factors of 18235 that divides 18228 without a remainder.

1, 5, 7, 35, 521, 2605, 3647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18228 and 18235. The biggest common factor number is the GCF number.
So the greatest common factor 18228 and 18235 is 7.

Also check out the Least Common Multiple of 18228 and 18235