What is the Greatest Common Factor of 55955 and 55960?

Greatest common factor (GCF) of 55955 and 55960 is 5.

GCF(55955,55960) = 5

We will now calculate the prime factors of 55955 and 55960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55955 and 55960.

How to find the GCF of 55955 and 55960?

We will first find the prime factorization of 55955 and 55960. After we will calculate the factors of 55955 and 55960 and find the biggest common factor number .

Step-1: Prime Factorization of 55955

Prime factors of 55955 are 5, 19, 31. Prime factorization of 55955 in exponential form is:

55955 = 5¹ × 19² × 31¹

Step-2: Prime Factorization of 55960

Prime factors of 55960 are 2, 5, 1399. Prime factorization of 55960 in exponential form is:

55960 = 2³ × 5¹ × 1399¹

Step-3: Factors of 55955

List of positive integer factors of 55955 that divides 55955 without a remainder.

1, 5, 19, 31, 95, 155, 361, 589, 1805, 2945, 11191

Step-4: Factors of 55960

List of positive integer factors of 55960 that divides 55955 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1399, 2798, 5596, 6995, 11192, 13990, 27980

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55955 and 55960. The biggest common factor number is the GCF number.
So the greatest common factor 55955 and 55960 is 5.

Also check out the Least Common Multiple of 55955 and 55960