What is the Greatest Common Factor of 58842 and 58857?

Greatest common factor (GCF) of 58842 and 58857 is 3.

GCF(58842,58857) = 3

We will now calculate the prime factors of 58842 and 58857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58842 and 58857.

How to find the GCF of 58842 and 58857?

We will first find the prime factorization of 58842 and 58857. After we will calculate the factors of 58842 and 58857 and find the biggest common factor number .

Step-1: Prime Factorization of 58842

Prime factors of 58842 are 2, 3, 7, 467. Prime factorization of 58842 in exponential form is:

58842 = 2¹ × 3² × 7¹ × 467¹

Step-2: Prime Factorization of 58857

Prime factors of 58857 are 3, 23, 853. Prime factorization of 58857 in exponential form is:

58857 = 3¹ × 23¹ × 853¹

Step-3: Factors of 58842

List of positive integer factors of 58842 that divides 58842 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 467, 934, 1401, 2802, 3269, 4203, 6538, 8406, 9807, 19614, 29421

Step-4: Factors of 58857

List of positive integer factors of 58857 that divides 58842 without a remainder.

1, 3, 23, 69, 853, 2559, 19619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58842 and 58857. The biggest common factor number is the GCF number.
So the greatest common factor 58842 and 58857 is 3.

Also check out the Least Common Multiple of 58842 and 58857