What is the Greatest Common Factor of 13785 and 13805?

Greatest common factor (GCF) of 13785 and 13805 is 5.

GCF(13785,13805) = 5

We will now calculate the prime factors of 13785 and 13805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13785 and 13805.

How to find the GCF of 13785 and 13805?

We will first find the prime factorization of 13785 and 13805. After we will calculate the factors of 13785 and 13805 and find the biggest common factor number .

Step-1: Prime Factorization of 13785

Prime factors of 13785 are 3, 5, 919. Prime factorization of 13785 in exponential form is:

13785 = 3¹ × 5¹ × 919¹

Step-2: Prime Factorization of 13805

Prime factors of 13805 are 5, 11, 251. Prime factorization of 13805 in exponential form is:

13805 = 5¹ × 11¹ × 251¹

Step-3: Factors of 13785

List of positive integer factors of 13785 that divides 13785 without a remainder.

1, 3, 5, 15, 919, 2757, 4595

Step-4: Factors of 13805

List of positive integer factors of 13805 that divides 13785 without a remainder.

1, 5, 11, 55, 251, 1255, 2761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13785 and 13805. The biggest common factor number is the GCF number.
So the greatest common factor 13785 and 13805 is 5.

Also check out the Least Common Multiple of 13785 and 13805