What is the Greatest Common Factor of 18420 and 18436?

Greatest common factor (GCF) of 18420 and 18436 is 4.

GCF(18420,18436) = 4

We will now calculate the prime factors of 18420 and 18436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18420 and 18436.

How to find the GCF of 18420 and 18436?

We will first find the prime factorization of 18420 and 18436. After we will calculate the factors of 18420 and 18436 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 18436

Prime factors of 18436 are 2, 11, 419. Prime factorization of 18436 in exponential form is:

18436 = 2² × 11¹ × 419¹

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 18436

List of positive integer factors of 18436 that divides 18420 without a remainder.

1, 2, 4, 11, 22, 44, 419, 838, 1676, 4609, 9218

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18420 and 18436. The biggest common factor number is the GCF number.
So the greatest common factor 18420 and 18436 is 4.

Also check out the Least Common Multiple of 18420 and 18436