What is the Greatest Common Factor of 18035 and 18040?

Greatest common factor (GCF) of 18035 and 18040 is 5.

GCF(18035,18040) = 5

We will now calculate the prime factors of 18035 and 18040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18035 and 18040.

How to find the GCF of 18035 and 18040?

We will first find the prime factorization of 18035 and 18040. After we will calculate the factors of 18035 and 18040 and find the biggest common factor number .

Step-1: Prime Factorization of 18035

Prime factors of 18035 are 5, 3607. Prime factorization of 18035 in exponential form is:

18035 = 5¹ × 3607¹

Step-2: Prime Factorization of 18040

Prime factors of 18040 are 2, 5, 11, 41. Prime factorization of 18040 in exponential form is:

18040 = 2³ × 5¹ × 11¹ × 41¹

Step-3: Factors of 18035

List of positive integer factors of 18035 that divides 18035 without a remainder.

1, 5, 3607

Step-4: Factors of 18040

List of positive integer factors of 18040 that divides 18035 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 41, 44, 55, 82, 88, 110, 164, 205, 220, 328, 410, 440, 451, 820, 902, 1640, 1804, 2255, 3608, 4510, 9020

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18035 and 18040. The biggest common factor number is the GCF number.
So the greatest common factor 18035 and 18040 is 5.

Also check out the Least Common Multiple of 18035 and 18040