What is the Greatest Common Factor of 58508 and 58523?

Greatest common factor (GCF) of 58508 and 58523 is 1.

GCF(58508,58523) = 1

We will now calculate the prime factors of 58508 and 58523, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58508 and 58523.

How to find the GCF of 58508 and 58523?

We will first find the prime factorization of 58508 and 58523. After we will calculate the factors of 58508 and 58523 and find the biggest common factor number .

Step-1: Prime Factorization of 58508

Prime factors of 58508 are 2, 14627. Prime factorization of 58508 in exponential form is:

58508 = 2² × 14627¹

Step-2: Prime Factorization of 58523

Prime factors of 58523 are 43, 1361. Prime factorization of 58523 in exponential form is:

58523 = 43¹ × 1361¹

Step-3: Factors of 58508

List of positive integer factors of 58508 that divides 58508 without a remainder.

1, 2, 4, 14627, 29254

Step-4: Factors of 58523

List of positive integer factors of 58523 that divides 58508 without a remainder.

1, 43, 1361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58508 and 58523. The biggest common factor number is the GCF number.
So the greatest common factor 58508 and 58523 is 1.

Also check out the Least Common Multiple of 58508 and 58523