What is the Greatest Common Factor of 55165 and 55182?

Greatest common factor (GCF) of 55165 and 55182 is 17.

GCF(55165,55182) = 17

We will now calculate the prime factors of 55165 and 55182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55165 and 55182.

How to find the GCF of 55165 and 55182?

We will first find the prime factorization of 55165 and 55182. After we will calculate the factors of 55165 and 55182 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 55182

Prime factors of 55182 are 2, 3, 17, 541. Prime factorization of 55182 in exponential form is:

55182 = 2¹ × 3¹ × 17¹ × 541¹

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 55182

List of positive integer factors of 55182 that divides 55165 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 541, 1082, 1623, 3246, 9197, 18394, 27591

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55165 and 55182. The biggest common factor number is the GCF number.
So the greatest common factor 55165 and 55182 is 17.

Also check out the Least Common Multiple of 55165 and 55182