What is the Greatest Common Factor of 58641 and 58647?

Greatest common factor (GCF) of 58641 and 58647 is 3.

GCF(58641,58647) = 3

We will now calculate the prime factors of 58641 and 58647, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58641 and 58647.

How to find the GCF of 58641 and 58647?

We will first find the prime factorization of 58641 and 58647. After we will calculate the factors of 58641 and 58647 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 58647

Prime factors of 58647 are 3, 113, 173. Prime factorization of 58647 in exponential form is:

58647 = 3¹ × 113¹ × 173¹

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 58647

List of positive integer factors of 58647 that divides 58641 without a remainder.

1, 3, 113, 173, 339, 519, 19549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58641 and 58647. The biggest common factor number is the GCF number.
So the greatest common factor 58641 and 58647 is 3.

Also check out the Least Common Multiple of 58641 and 58647