What is the Greatest Common Factor of 58667 and 58684?

Greatest common factor (GCF) of 58667 and 58684 is 17.

GCF(58667,58684) = 17

We will now calculate the prime factors of 58667 and 58684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58667 and 58684.

How to find the GCF of 58667 and 58684?

We will first find the prime factorization of 58667 and 58684. After we will calculate the factors of 58667 and 58684 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 58684

Prime factors of 58684 are 2, 17, 863. Prime factorization of 58684 in exponential form is:

58684 = 2² × 17¹ × 863¹

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 58684

List of positive integer factors of 58684 that divides 58667 without a remainder.

1, 2, 4, 17, 34, 68, 863, 1726, 3452, 14671, 29342

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58667 and 58684. The biggest common factor number is the GCF number.
So the greatest common factor 58667 and 58684 is 17.

Also check out the Least Common Multiple of 58667 and 58684