What is the Greatest Common Factor of 58641 and 58659?

Greatest common factor (GCF) of 58641 and 58659 is 3.

GCF(58641,58659) = 3

We will now calculate the prime factors of 58641 and 58659, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58641 and 58659.

How to find the GCF of 58641 and 58659?

We will first find the prime factorization of 58641 and 58659. After we will calculate the factors of 58641 and 58659 and find the biggest common factor number .

Step-1: Prime Factorization of 58641

Prime factors of 58641 are 3, 11, 1777. Prime factorization of 58641 in exponential form is:

58641 = 3¹ × 11¹ × 1777¹

Step-2: Prime Factorization of 58659

Prime factors of 58659 are 3, 19553. Prime factorization of 58659 in exponential form is:

58659 = 3¹ × 19553¹

Step-3: Factors of 58641

List of positive integer factors of 58641 that divides 58641 without a remainder.

1, 3, 11, 33, 1777, 5331, 19547

Step-4: Factors of 58659

List of positive integer factors of 58659 that divides 58641 without a remainder.

1, 3, 19553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58641 and 58659. The biggest common factor number is the GCF number.
So the greatest common factor 58641 and 58659 is 3.

Also check out the Least Common Multiple of 58641 and 58659