What is the Greatest Common Factor of 18224 and 18234?

Greatest common factor (GCF) of 18224 and 18234 is 2.

GCF(18224,18234) = 2

We will now calculate the prime factors of 18224 and 18234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18224 and 18234.

How to find the GCF of 18224 and 18234?

We will first find the prime factorization of 18224 and 18234. After we will calculate the factors of 18224 and 18234 and find the biggest common factor number .

Step-1: Prime Factorization of 18224

Prime factors of 18224 are 2, 17, 67. Prime factorization of 18224 in exponential form is:

18224 = 2⁴ × 17¹ × 67¹

Step-2: Prime Factorization of 18234

Prime factors of 18234 are 2, 3, 1013. Prime factorization of 18234 in exponential form is:

18234 = 2¹ × 3² × 1013¹

Step-3: Factors of 18224

List of positive integer factors of 18224 that divides 18224 without a remainder.

1, 2, 4, 8, 16, 17, 34, 67, 68, 134, 136, 268, 272, 536, 1072, 1139, 2278, 4556, 9112

Step-4: Factors of 18234

List of positive integer factors of 18234 that divides 18224 without a remainder.

1, 2, 3, 6, 9, 18, 1013, 2026, 3039, 6078, 9117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18224 and 18234. The biggest common factor number is the GCF number.
So the greatest common factor 18224 and 18234 is 2.

Also check out the Least Common Multiple of 18224 and 18234