What is the Greatest Common Factor of 55165 and 55175?

Greatest common factor (GCF) of 55165 and 55175 is 5.

GCF(55165,55175) = 5

We will now calculate the prime factors of 55165 and 55175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55165 and 55175.

How to find the GCF of 55165 and 55175?

We will first find the prime factorization of 55165 and 55175. After we will calculate the factors of 55165 and 55175 and find the biggest common factor number .

Step-1: Prime Factorization of 55165

Prime factors of 55165 are 5, 11, 17, 59. Prime factorization of 55165 in exponential form is:

55165 = 5¹ × 11¹ × 17¹ × 59¹

Step-2: Prime Factorization of 55175

Prime factors of 55175 are 5, 2207. Prime factorization of 55175 in exponential form is:

55175 = 5² × 2207¹

Step-3: Factors of 55165

List of positive integer factors of 55165 that divides 55165 without a remainder.

1, 5, 11, 17, 55, 59, 85, 187, 295, 649, 935, 1003, 3245, 5015, 11033

Step-4: Factors of 55175

List of positive integer factors of 55175 that divides 55165 without a remainder.

1, 5, 25, 2207, 11035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55165 and 55175. The biggest common factor number is the GCF number.
So the greatest common factor 55165 and 55175 is 5.

Also check out the Least Common Multiple of 55165 and 55175