What is the Greatest Common Factor of 52241 and 52258?

Greatest common factor (GCF) of 52241 and 52258 is 17.

GCF(52241,52258) = 17

We will now calculate the prime factors of 52241 and 52258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52241 and 52258.

How to find the GCF of 52241 and 52258?

We will first find the prime factorization of 52241 and 52258. After we will calculate the factors of 52241 and 52258 and find the biggest common factor number .

Step-1: Prime Factorization of 52241

Prime factors of 52241 are 7, 17, 439. Prime factorization of 52241 in exponential form is:

52241 = 7¹ × 17¹ × 439¹

Step-2: 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-3: Factors of 52241

List of positive integer factors of 52241 that divides 52241 without a remainder.

1, 7, 17, 119, 439, 3073, 7463

Step-4: Factors of 52258

List of positive integer factors of 52258 that divides 52241 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52241 and 52258. The biggest common factor number is the GCF number.
So the greatest common factor 52241 and 52258 is 17.

Also check out the Least Common Multiple of 52241 and 52258