What is the Greatest Common Factor of 18420 and 18428?

Greatest common factor (GCF) of 18420 and 18428 is 4.

GCF(18420,18428) = 4

We will now calculate the prime factors of 18420 and 18428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18420 and 18428.

How to find the GCF of 18420 and 18428?

We will first find the prime factorization of 18420 and 18428. After we will calculate the factors of 18420 and 18428 and find the biggest common factor number .

Step-1: Prime Factorization of 18420

Prime factors of 18420 are 2, 3, 5, 307. Prime factorization of 18420 in exponential form is:

18420 = 2² × 3¹ × 5¹ × 307¹

Step-2: 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-3: Factors of 18420

List of positive integer factors of 18420 that divides 18420 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 307, 614, 921, 1228, 1535, 1842, 3070, 3684, 4605, 6140, 9210

Step-4: Factors of 18428

List of positive integer factors of 18428 that divides 18420 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18420 and 18428. The biggest common factor number is the GCF number.
So the greatest common factor 18420 and 18428 is 4.

Also check out the Least Common Multiple of 18420 and 18428