What is the Greatest Common Factor of 18280 and 18285?

Greatest common factor (GCF) of 18280 and 18285 is 5.

GCF(18280,18285) = 5

We will now calculate the prime factors of 18280 and 18285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18280 and 18285.

How to find the GCF of 18280 and 18285?

We will first find the prime factorization of 18280 and 18285. After we will calculate the factors of 18280 and 18285 and find the biggest common factor number .

Step-1: Prime Factorization of 18280

Prime factors of 18280 are 2, 5, 457. Prime factorization of 18280 in exponential form is:

18280 = 2³ × 5¹ × 457¹

Step-2: Prime Factorization of 18285

Prime factors of 18285 are 3, 5, 23, 53. Prime factorization of 18285 in exponential form is:

18285 = 3¹ × 5¹ × 23¹ × 53¹

Step-3: Factors of 18280

List of positive integer factors of 18280 that divides 18280 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 457, 914, 1828, 2285, 3656, 4570, 9140

Step-4: Factors of 18285

List of positive integer factors of 18285 that divides 18280 without a remainder.

1, 3, 5, 15, 23, 53, 69, 115, 159, 265, 345, 795, 1219, 3657, 6095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18280 and 18285. The biggest common factor number is the GCF number.
So the greatest common factor 18280 and 18285 is 5.

Also check out the Least Common Multiple of 18280 and 18285