What is the Greatest Common Factor of 55845 and 55855?

Greatest common factor (GCF) of 55845 and 55855 is 5.

GCF(55845,55855) = 5

We will now calculate the prime factors of 55845 and 55855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55845 and 55855.

How to find the GCF of 55845 and 55855?

We will first find the prime factorization of 55845 and 55855. After we will calculate the factors of 55845 and 55855 and find the biggest common factor number .

Step-1: Prime Factorization of 55845

Prime factors of 55845 are 3, 5, 17, 73. Prime factorization of 55845 in exponential form is:

55845 = 3² × 5¹ × 17¹ × 73¹

Step-2: Prime Factorization of 55855

Prime factors of 55855 are 5, 11171. Prime factorization of 55855 in exponential form is:

55855 = 5¹ × 11171¹

Step-3: Factors of 55845

List of positive integer factors of 55845 that divides 55845 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 73, 85, 153, 219, 255, 365, 657, 765, 1095, 1241, 3285, 3723, 6205, 11169, 18615

Step-4: Factors of 55855

List of positive integer factors of 55855 that divides 55845 without a remainder.

1, 5, 11171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55845 and 55855. The biggest common factor number is the GCF number.
So the greatest common factor 55845 and 55855 is 5.

Also check out the Least Common Multiple of 55845 and 55855