What is the Greatest Common Factor of 53165 and 53177?

Greatest common factor (GCF) of 53165 and 53177 is 1.

GCF(53165,53177) = 1

We will now calculate the prime factors of 53165 and 53177, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53165 and 53177.

How to find the GCF of 53165 and 53177?

We will first find the prime factorization of 53165 and 53177. After we will calculate the factors of 53165 and 53177 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 53177

Prime factors of 53177 are 41, 1297. Prime factorization of 53177 in exponential form is:

53177 = 41¹ × 1297¹

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 53177

List of positive integer factors of 53177 that divides 53165 without a remainder.

1, 41, 1297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53165 and 53177. The biggest common factor number is the GCF number.
So the greatest common factor 53165 and 53177 is 1.

Also check out the Least Common Multiple of 53165 and 53177