What is the Greatest Common Factor of 17800 and 17805?

Greatest common factor (GCF) of 17800 and 17805 is 5.

GCF(17800,17805) = 5

We will now calculate the prime factors of 17800 and 17805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17800 and 17805.

How to find the GCF of 17800 and 17805?

We will first find the prime factorization of 17800 and 17805. After we will calculate the factors of 17800 and 17805 and find the biggest common factor number .

Step-1: Prime Factorization of 17800

Prime factors of 17800 are 2, 5, 89. Prime factorization of 17800 in exponential form is:

17800 = 2³ × 5² × 89¹

Step-2: Prime Factorization of 17805

Prime factors of 17805 are 3, 5, 1187. Prime factorization of 17805 in exponential form is:

17805 = 3¹ × 5¹ × 1187¹

Step-3: Factors of 17800

List of positive integer factors of 17800 that divides 17800 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 89, 100, 178, 200, 356, 445, 712, 890, 1780, 2225, 3560, 4450, 8900

Step-4: Factors of 17805

List of positive integer factors of 17805 that divides 17800 without a remainder.

1, 3, 5, 15, 1187, 3561, 5935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17800 and 17805. The biggest common factor number is the GCF number.
So the greatest common factor 17800 and 17805 is 5.

Also check out the Least Common Multiple of 17800 and 17805