What is the Greatest Common Factor of 53165 and 53183?

Greatest common factor (GCF) of 53165 and 53183 is 1.

GCF(53165,53183) = 1

We will now calculate the prime factors of 53165 and 53183, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53165 and 53183.

How to find the GCF of 53165 and 53183?

We will first find the prime factorization of 53165 and 53183. After we will calculate the factors of 53165 and 53183 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 53183

Prime factors of 53183 are 13, 4091. Prime factorization of 53183 in exponential form is:

53183 = 13¹ × 4091¹

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 53183

List of positive integer factors of 53183 that divides 53165 without a remainder.

1, 13, 4091

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53165 and 53183. The biggest common factor number is the GCF number.
So the greatest common factor 53165 and 53183 is 1.

Also check out the Least Common Multiple of 53165 and 53183