What is the Greatest Common Factor of 55805 and 55825?

Greatest common factor (GCF) of 55805 and 55825 is 5.

GCF(55805,55825) = 5

We will now calculate the prime factors of 55805 and 55825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55805 and 55825.

How to find the GCF of 55805 and 55825?

We will first find the prime factorization of 55805 and 55825. After we will calculate the factors of 55805 and 55825 and find the biggest common factor number .

Step-1: Prime Factorization of 55805

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

55805 = 5¹ × 11161¹

Step-2: Prime Factorization of 55825

Prime factors of 55825 are 5, 7, 11, 29. Prime factorization of 55825 in exponential form is:

55825 = 5² × 7¹ × 11¹ × 29¹

Step-3: Factors of 55805

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

1, 5, 11161

Step-4: Factors of 55825

List of positive integer factors of 55825 that divides 55805 without a remainder.

1, 5, 7, 11, 25, 29, 35, 55, 77, 145, 175, 203, 275, 319, 385, 725, 1015, 1595, 1925, 2233, 5075, 7975, 11165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55805 and 55825. The biggest common factor number is the GCF number.
So the greatest common factor 55805 and 55825 is 5.

Also check out the Least Common Multiple of 55805 and 55825