What is the Greatest Common Factor of 18420 and 18435?

Greatest common factor (GCF) of 18420 and 18435 is 15.

GCF(18420,18435) = 15

We will now calculate the prime factors of 18420 and 18435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18420 and 18435.

How to find the GCF of 18420 and 18435?

We will first find the prime factorization of 18420 and 18435. After we will calculate the factors of 18420 and 18435 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 18435

Prime factors of 18435 are 3, 5, 1229. Prime factorization of 18435 in exponential form is:

18435 = 3¹ × 5¹ × 1229¹

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 18435

List of positive integer factors of 18435 that divides 18420 without a remainder.

1, 3, 5, 15, 1229, 3687, 6145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18420 and 18435. The biggest common factor number is the GCF number.
So the greatest common factor 18420 and 18435 is 15.

Also check out the Least Common Multiple of 18420 and 18435