What is the Greatest Common Factor of 58557 and 58566?

Greatest common factor (GCF) of 58557 and 58566 is 3.

GCF(58557,58566) = 3

We will now calculate the prime factors of 58557 and 58566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58557 and 58566.

How to find the GCF of 58557 and 58566?

We will first find the prime factorization of 58557 and 58566. After we will calculate the factors of 58557 and 58566 and find the biggest common factor number .

Step-1: Prime Factorization of 58557

Prime factors of 58557 are 3, 131, 149. Prime factorization of 58557 in exponential form is:

58557 = 3¹ × 131¹ × 149¹

Step-2: Prime Factorization of 58566

Prime factors of 58566 are 2, 3, 43, 227. Prime factorization of 58566 in exponential form is:

58566 = 2¹ × 3¹ × 43¹ × 227¹

Step-3: Factors of 58557

List of positive integer factors of 58557 that divides 58557 without a remainder.

1, 3, 131, 149, 393, 447, 19519

Step-4: Factors of 58566

List of positive integer factors of 58566 that divides 58557 without a remainder.

1, 2, 3, 6, 43, 86, 129, 227, 258, 454, 681, 1362, 9761, 19522, 29283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58557 and 58566. The biggest common factor number is the GCF number.
So the greatest common factor 58557 and 58566 is 3.

Also check out the Least Common Multiple of 58557 and 58566