What is the Greatest Common Factor of 17845 and 17863?

Greatest common factor (GCF) of 17845 and 17863 is 1.

GCF(17845,17863) = 1

We will now calculate the prime factors of 17845 and 17863, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17845 and 17863.

How to find the GCF of 17845 and 17863?

We will first find the prime factorization of 17845 and 17863. After we will calculate the factors of 17845 and 17863 and find the biggest common factor number .

Step-1: Prime Factorization of 17845

Prime factors of 17845 are 5, 43, 83. Prime factorization of 17845 in exponential form is:

17845 = 5¹ × 43¹ × 83¹

Step-2: Prime Factorization of 17863

Prime factors of 17863 are 17863. Prime factorization of 17863 in exponential form is:

17863 = 17863¹

Step-3: Factors of 17845

List of positive integer factors of 17845 that divides 17845 without a remainder.

1, 5, 43, 83, 215, 415, 3569

Step-4: Factors of 17863

List of positive integer factors of 17863 that divides 17845 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17845 and 17863. The biggest common factor number is the GCF number.
So the greatest common factor 17845 and 17863 is 1.

Also check out the Least Common Multiple of 17845 and 17863