What is the Greatest Common Factor of 18228 and 18242?

Greatest common factor (GCF) of 18228 and 18242 is 14.

GCF(18228,18242) = 14

We will now calculate the prime factors of 18228 and 18242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18228 and 18242.

How to find the GCF of 18228 and 18242?

We will first find the prime factorization of 18228 and 18242. After we will calculate the factors of 18228 and 18242 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 18242

Prime factors of 18242 are 2, 7, 1303. Prime factorization of 18242 in exponential form is:

18242 = 2¹ × 7¹ × 1303¹

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 18242

List of positive integer factors of 18242 that divides 18228 without a remainder.

1, 2, 7, 14, 1303, 2606, 9121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18228 and 18242. The biggest common factor number is the GCF number.
So the greatest common factor 18228 and 18242 is 14.

Also check out the Least Common Multiple of 18228 and 18242