What is the Greatest Common Factor of 18414 and 18420?

Greatest common factor (GCF) of 18414 and 18420 is 6.

GCF(18414,18420) = 6

We will now calculate the prime factors of 18414 and 18420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18414 and 18420.

How to find the GCF of 18414 and 18420?

We will first find the prime factorization of 18414 and 18420. After we will calculate the factors of 18414 and 18420 and find the biggest common factor number .

Step-1: Prime Factorization of 18414

Prime factors of 18414 are 2, 3, 11, 31. Prime factorization of 18414 in exponential form is:

18414 = 2¹ × 3³ × 11¹ × 31¹

Step-2: 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-3: Factors of 18414

List of positive integer factors of 18414 that divides 18414 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 31, 33, 54, 62, 66, 93, 99, 186, 198, 279, 297, 341, 558, 594, 682, 837, 1023, 1674, 2046, 3069, 6138, 9207

Step-4: Factors of 18420

List of positive integer factors of 18420 that divides 18414 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18414 and 18420. The biggest common factor number is the GCF number.
So the greatest common factor 18414 and 18420 is 6.

Also check out the Least Common Multiple of 18414 and 18420