What is the Greatest Common Factor of 18428 and 18445?

Greatest common factor (GCF) of 18428 and 18445 is 17.

GCF(18428,18445) = 17

We will now calculate the prime factors of 18428 and 18445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18428 and 18445.

How to find the GCF of 18428 and 18445?

We will first find the prime factorization of 18428 and 18445. After we will calculate the factors of 18428 and 18445 and find the biggest common factor number .

Step-1: Prime Factorization of 18428

Prime factors of 18428 are 2, 17, 271. Prime factorization of 18428 in exponential form is:

18428 = 2² × 17¹ × 271¹

Step-2: Prime Factorization of 18445

Prime factors of 18445 are 5, 7, 17, 31. Prime factorization of 18445 in exponential form is:

18445 = 5¹ × 7¹ × 17¹ × 31¹

Step-3: Factors of 18428

List of positive integer factors of 18428 that divides 18428 without a remainder.

1, 2, 4, 17, 34, 68, 271, 542, 1084, 4607, 9214

Step-4: Factors of 18445

List of positive integer factors of 18445 that divides 18428 without a remainder.

1, 5, 7, 17, 31, 35, 85, 119, 155, 217, 527, 595, 1085, 2635, 3689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18428 and 18445. The biggest common factor number is the GCF number.
So the greatest common factor 18428 and 18445 is 17.

Also check out the Least Common Multiple of 18428 and 18445