What is the Greatest Common Factor of 59254 and 59258?

Greatest common factor (GCF) of 59254 and 59258 is 2.

GCF(59254,59258) = 2

We will now calculate the prime factors of 59254 and 59258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59254 and 59258.

How to find the GCF of 59254 and 59258?

We will first find the prime factorization of 59254 and 59258. After we will calculate the factors of 59254 and 59258 and find the biggest common factor number .

Step-1: Prime Factorization of 59254

Prime factors of 59254 are 2, 13, 43, 53. Prime factorization of 59254 in exponential form is:

59254 = 2¹ × 13¹ × 43¹ × 53¹

Step-2: Prime Factorization of 59258

Prime factors of 59258 are 2, 29629. Prime factorization of 59258 in exponential form is:

59258 = 2¹ × 29629¹

Step-3: Factors of 59254

List of positive integer factors of 59254 that divides 59254 without a remainder.

1, 2, 13, 26, 43, 53, 86, 106, 559, 689, 1118, 1378, 2279, 4558, 29627

Step-4: Factors of 59258

List of positive integer factors of 59258 that divides 59254 without a remainder.

1, 2, 29629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59254 and 59258. The biggest common factor number is the GCF number.
So the greatest common factor 59254 and 59258 is 2.

Also check out the Least Common Multiple of 59254 and 59258