What is the Greatest Common Factor of 13795 and 13810?

Greatest common factor (GCF) of 13795 and 13810 is 5.

GCF(13795,13810) = 5

We will now calculate the prime factors of 13795 and 13810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13795 and 13810.

How to find the GCF of 13795 and 13810?

We will first find the prime factorization of 13795 and 13810. After we will calculate the factors of 13795 and 13810 and find the biggest common factor number .

Step-1: Prime Factorization of 13795

Prime factors of 13795 are 5, 31, 89. Prime factorization of 13795 in exponential form is:

13795 = 5¹ × 31¹ × 89¹

Step-2: Prime Factorization of 13810

Prime factors of 13810 are 2, 5, 1381. Prime factorization of 13810 in exponential form is:

13810 = 2¹ × 5¹ × 1381¹

Step-3: Factors of 13795

List of positive integer factors of 13795 that divides 13795 without a remainder.

1, 5, 31, 89, 155, 445, 2759

Step-4: Factors of 13810

List of positive integer factors of 13810 that divides 13795 without a remainder.

1, 2, 5, 10, 1381, 2762, 6905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13795 and 13810. The biggest common factor number is the GCF number.
So the greatest common factor 13795 and 13810 is 5.

Also check out the Least Common Multiple of 13795 and 13810