What is the Greatest Common Factor of 18268 and 18284?

Greatest common factor (GCF) of 18268 and 18284 is 4.

GCF(18268,18284) = 4

We will now calculate the prime factors of 18268 and 18284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18268 and 18284.

How to find the GCF of 18268 and 18284?

We will first find the prime factorization of 18268 and 18284. After we will calculate the factors of 18268 and 18284 and find the biggest common factor number .

Step-1: Prime Factorization of 18268

Prime factors of 18268 are 2, 4567. Prime factorization of 18268 in exponential form is:

18268 = 2² × 4567¹

Step-2: Prime Factorization of 18284

Prime factors of 18284 are 2, 7, 653. Prime factorization of 18284 in exponential form is:

18284 = 2² × 7¹ × 653¹

Step-3: Factors of 18268

List of positive integer factors of 18268 that divides 18268 without a remainder.

1, 2, 4, 4567, 9134

Step-4: Factors of 18284

List of positive integer factors of 18284 that divides 18268 without a remainder.

1, 2, 4, 7, 14, 28, 653, 1306, 2612, 4571, 9142

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18268 and 18284. The biggest common factor number is the GCF number.
So the greatest common factor 18268 and 18284 is 4.

Also check out the Least Common Multiple of 18268 and 18284