What is the Greatest Common Factor of 18080 and 18095?

Greatest common factor (GCF) of 18080 and 18095 is 5.

GCF(18080,18095) = 5

We will now calculate the prime factors of 18080 and 18095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18080 and 18095.

How to find the GCF of 18080 and 18095?

We will first find the prime factorization of 18080 and 18095. After we will calculate the factors of 18080 and 18095 and find the biggest common factor number .

Step-1: Prime Factorization of 18080

Prime factors of 18080 are 2, 5, 113. Prime factorization of 18080 in exponential form is:

18080 = 2⁵ × 5¹ × 113¹

Step-2: Prime Factorization of 18095

Prime factors of 18095 are 5, 7, 11, 47. Prime factorization of 18095 in exponential form is:

18095 = 5¹ × 7¹ × 11¹ × 47¹

Step-3: Factors of 18080

List of positive integer factors of 18080 that divides 18080 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 113, 160, 226, 452, 565, 904, 1130, 1808, 2260, 3616, 4520, 9040

Step-4: Factors of 18095

List of positive integer factors of 18095 that divides 18080 without a remainder.

1, 5, 7, 11, 35, 47, 55, 77, 235, 329, 385, 517, 1645, 2585, 3619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18080 and 18095. The biggest common factor number is the GCF number.
So the greatest common factor 18080 and 18095 is 5.

Also check out the Least Common Multiple of 18080 and 18095