What is the Greatest Common Factor of 55795 and 55805?

Greatest common factor (GCF) of 55795 and 55805 is 5.

GCF(55795,55805) = 5

We will now calculate the prime factors of 55795 and 55805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55795 and 55805.

How to find the GCF of 55795 and 55805?

We will first find the prime factorization of 55795 and 55805. After we will calculate the factors of 55795 and 55805 and find the biggest common factor number .

Step-1: Prime Factorization of 55795

Prime factors of 55795 are 5, 11159. Prime factorization of 55795 in exponential form is:

55795 = 5¹ × 11159¹

Step-2: Prime Factorization of 55805

Prime factors of 55805 are 5, 11161. Prime factorization of 55805 in exponential form is:

55805 = 5¹ × 11161¹

Step-3: Factors of 55795

List of positive integer factors of 55795 that divides 55795 without a remainder.

1, 5, 11159

Step-4: Factors of 55805

List of positive integer factors of 55805 that divides 55795 without a remainder.

1, 5, 11161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55795 and 55805. The biggest common factor number is the GCF number.
So the greatest common factor 55795 and 55805 is 5.

Also check out the Least Common Multiple of 55795 and 55805