What is the Greatest Common Factor of 58665 and 58683?

Greatest common factor (GCF) of 58665 and 58683 is 3.

GCF(58665,58683) = 3

We will now calculate the prime factors of 58665 and 58683, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58665 and 58683.

How to find the GCF of 58665 and 58683?

We will first find the prime factorization of 58665 and 58683. After we will calculate the factors of 58665 and 58683 and find the biggest common factor number .

Step-1: Prime Factorization of 58665

Prime factors of 58665 are 3, 5, 3911. Prime factorization of 58665 in exponential form is:

58665 = 3¹ × 5¹ × 3911¹

Step-2: Prime Factorization of 58683

Prime factors of 58683 are 3, 31, 631. Prime factorization of 58683 in exponential form is:

58683 = 3¹ × 31¹ × 631¹

Step-3: Factors of 58665

List of positive integer factors of 58665 that divides 58665 without a remainder.

1, 3, 5, 15, 3911, 11733, 19555

Step-4: Factors of 58683

List of positive integer factors of 58683 that divides 58665 without a remainder.

1, 3, 31, 93, 631, 1893, 19561

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58665 and 58683. The biggest common factor number is the GCF number.
So the greatest common factor 58665 and 58683 is 3.

Also check out the Least Common Multiple of 58665 and 58683