What is the Greatest Common Factor of 58318 and 58325?

Greatest common factor (GCF) of 58318 and 58325 is 1.

GCF(58318,58325) = 1

We will now calculate the prime factors of 58318 and 58325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58318 and 58325.

How to find the GCF of 58318 and 58325?

We will first find the prime factorization of 58318 and 58325. After we will calculate the factors of 58318 and 58325 and find the biggest common factor number .

Step-1: Prime Factorization of 58318

Prime factors of 58318 are 2, 13, 2243. Prime factorization of 58318 in exponential form is:

58318 = 2¹ × 13¹ × 2243¹

Step-2: Prime Factorization of 58325

Prime factors of 58325 are 5, 2333. Prime factorization of 58325 in exponential form is:

58325 = 5² × 2333¹

Step-3: Factors of 58318

List of positive integer factors of 58318 that divides 58318 without a remainder.

1, 2, 13, 26, 2243, 4486, 29159

Step-4: Factors of 58325

List of positive integer factors of 58325 that divides 58318 without a remainder.

1, 5, 25, 2333, 11665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58318 and 58325. The biggest common factor number is the GCF number.
So the greatest common factor 58318 and 58325 is 1.

Also check out the Least Common Multiple of 58318 and 58325