What is the Greatest Common Factor of 58667 and 58687?

Greatest common factor (GCF) of 58667 and 58687 is 1.

GCF(58667,58687) = 1

We will now calculate the prime factors of 58667 and 58687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58667 and 58687.

How to find the GCF of 58667 and 58687?

We will first find the prime factorization of 58667 and 58687. After we will calculate the factors of 58667 and 58687 and find the biggest common factor number .

Step-1: Prime Factorization of 58667

Prime factors of 58667 are 7, 17, 29. Prime factorization of 58667 in exponential form is:

58667 = 7¹ × 17² × 29¹

Step-2: Prime Factorization of 58687

Prime factors of 58687 are 58687. Prime factorization of 58687 in exponential form is:

58687 = 58687¹

Step-3: Factors of 58667

List of positive integer factors of 58667 that divides 58667 without a remainder.

1, 7, 17, 29, 119, 203, 289, 493, 2023, 3451, 8381

Step-4: Factors of 58687

List of positive integer factors of 58687 that divides 58667 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58667 and 58687. The biggest common factor number is the GCF number.
So the greatest common factor 58667 and 58687 is 1.

Also check out the Least Common Multiple of 58667 and 58687