What is the Greatest Common Factor of 55148 and 55165?

Greatest common factor (GCF) of 55148 and 55165 is 17.

GCF(55148,55165) = 17

We will now calculate the prime factors of 55148 and 55165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55148 and 55165.

How to find the GCF of 55148 and 55165?

We will first find the prime factorization of 55148 and 55165. After we will calculate the factors of 55148 and 55165 and find the biggest common factor number .

Step-1: Prime Factorization of 55148

Prime factors of 55148 are 2, 17, 811. Prime factorization of 55148 in exponential form is:

55148 = 2² × 17¹ × 811¹

Step-2: 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-3: Factors of 55148

List of positive integer factors of 55148 that divides 55148 without a remainder.

1, 2, 4, 17, 34, 68, 811, 1622, 3244, 13787, 27574

Step-4: Factors of 55165

List of positive integer factors of 55165 that divides 55148 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55148 and 55165. The biggest common factor number is the GCF number.
So the greatest common factor 55148 and 55165 is 17.

Also check out the Least Common Multiple of 55148 and 55165