What is the Greatest Common Factor of 53165 and 53173?

Greatest common factor (GCF) of 53165 and 53173 is 1.

GCF(53165,53173) = 1

We will now calculate the prime factors of 53165 and 53173, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53165 and 53173.

How to find the GCF of 53165 and 53173?

We will first find the prime factorization of 53165 and 53173. After we will calculate the factors of 53165 and 53173 and find the biggest common factor number .

Step-1: Prime Factorization of 53165

Prime factors of 53165 are 5, 7, 31. Prime factorization of 53165 in exponential form is:

53165 = 5¹ × 7³ × 31¹

Step-2: Prime Factorization of 53173

Prime factors of 53173 are 53173. Prime factorization of 53173 in exponential form is:

53173 = 53173¹

Step-3: Factors of 53165

List of positive integer factors of 53165 that divides 53165 without a remainder.

1, 5, 7, 31, 35, 49, 155, 217, 245, 343, 1085, 1519, 1715, 7595, 10633

Step-4: Factors of 53173

List of positive integer factors of 53173 that divides 53165 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53165 and 53173. The biggest common factor number is the GCF number.
So the greatest common factor 53165 and 53173 is 1.

Also check out the Least Common Multiple of 53165 and 53173