What is the Greatest Common Factor of 18208 and 18228?

Greatest common factor (GCF) of 18208 and 18228 is 4.

GCF(18208,18228) = 4

We will now calculate the prime factors of 18208 and 18228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18208 and 18228.

How to find the GCF of 18208 and 18228?

We will first find the prime factorization of 18208 and 18228. After we will calculate the factors of 18208 and 18228 and find the biggest common factor number .

Step-1: Prime Factorization of 18208

Prime factors of 18208 are 2, 569. Prime factorization of 18208 in exponential form is:

18208 = 2⁵ × 569¹

Step-2: 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-3: Factors of 18208

List of positive integer factors of 18208 that divides 18208 without a remainder.

1, 2, 4, 8, 16, 32, 569, 1138, 2276, 4552, 9104

Step-4: Factors of 18228

List of positive integer factors of 18228 that divides 18208 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18208 and 18228. The biggest common factor number is the GCF number.
So the greatest common factor 18208 and 18228 is 4.

Also check out the Least Common Multiple of 18208 and 18228