What is the Greatest Common Factor of 58635 and 58641?

Greatest common factor (GCF) of 58635 and 58641 is 3.

GCF(58635,58641) = 3

We will now calculate the prime factors of 58635 and 58641, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58635 and 58641.

How to find the GCF of 58635 and 58641?

We will first find the prime factorization of 58635 and 58641. After we will calculate the factors of 58635 and 58641 and find the biggest common factor number .

Step-1: Prime Factorization of 58635

Prime factors of 58635 are 3, 5, 1303. Prime factorization of 58635 in exponential form is:

58635 = 3² × 5¹ × 1303¹

Step-2: 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-3: Factors of 58635

List of positive integer factors of 58635 that divides 58635 without a remainder.

1, 3, 5, 9, 15, 45, 1303, 3909, 6515, 11727, 19545

Step-4: Factors of 58641

List of positive integer factors of 58641 that divides 58635 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58635 and 58641. The biggest common factor number is the GCF number.
So the greatest common factor 58635 and 58641 is 3.

Also check out the Least Common Multiple of 58635 and 58641