What is the Greatest Common Factor of 58312 and 58327?

Greatest common factor (GCF) of 58312 and 58327 is 1.

GCF(58312,58327) = 1

We will now calculate the prime factors of 58312 and 58327, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58312 and 58327.

How to find the GCF of 58312 and 58327?

We will first find the prime factorization of 58312 and 58327. After we will calculate the factors of 58312 and 58327 and find the biggest common factor number .

Step-1: Prime Factorization of 58312

Prime factors of 58312 are 2, 37, 197. Prime factorization of 58312 in exponential form is:

58312 = 2³ × 37¹ × 197¹

Step-2: Prime Factorization of 58327

Prime factors of 58327 are 17, 47, 73. Prime factorization of 58327 in exponential form is:

58327 = 17¹ × 47¹ × 73¹

Step-3: Factors of 58312

List of positive integer factors of 58312 that divides 58312 without a remainder.

1, 2, 4, 8, 37, 74, 148, 197, 296, 394, 788, 1576, 7289, 14578, 29156

Step-4: Factors of 58327

List of positive integer factors of 58327 that divides 58312 without a remainder.

1, 17, 47, 73, 799, 1241, 3431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58312 and 58327. The biggest common factor number is the GCF number.
So the greatest common factor 58312 and 58327 is 1.

Also check out the Least Common Multiple of 58312 and 58327