What is the Greatest Common Factor of 52258 and 52275?

Greatest common factor (GCF) of 52258 and 52275 is 17.

GCF(52258,52275) = 17

We will now calculate the prime factors of 52258 and 52275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52258 and 52275.

How to find the GCF of 52258 and 52275?

We will first find the prime factorization of 52258 and 52275. After we will calculate the factors of 52258 and 52275 and find the biggest common factor number .

Step-1: Prime Factorization of 52258

Prime factors of 52258 are 2, 17, 29, 53. Prime factorization of 52258 in exponential form is:

52258 = 2¹ × 17¹ × 29¹ × 53¹

Step-2: Prime Factorization of 52275

Prime factors of 52275 are 3, 5, 17, 41. Prime factorization of 52275 in exponential form is:

52275 = 3¹ × 5² × 17¹ × 41¹

Step-3: Factors of 52258

List of positive integer factors of 52258 that divides 52258 without a remainder.

1, 2, 17, 29, 34, 53, 58, 106, 493, 901, 986, 1537, 1802, 3074, 26129

Step-4: Factors of 52275

List of positive integer factors of 52275 that divides 52258 without a remainder.

1, 3, 5, 15, 17, 25, 41, 51, 75, 85, 123, 205, 255, 425, 615, 697, 1025, 1275, 2091, 3075, 3485, 10455, 17425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52258 and 52275. The biggest common factor number is the GCF number.
So the greatest common factor 52258 and 52275 is 17.

Also check out the Least Common Multiple of 52258 and 52275