What is the Greatest Common Factor of 58830 and 58842?

Greatest common factor (GCF) of 58830 and 58842 is 6.

GCF(58830,58842) = 6

We will now calculate the prime factors of 58830 and 58842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58830 and 58842.

How to find the GCF of 58830 and 58842?

We will first find the prime factorization of 58830 and 58842. After we will calculate the factors of 58830 and 58842 and find the biggest common factor number .

Step-1: Prime Factorization of 58830

Prime factors of 58830 are 2, 3, 5, 37, 53. Prime factorization of 58830 in exponential form is:

58830 = 2¹ × 3¹ × 5¹ × 37¹ × 53¹

Step-2: 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-3: Factors of 58830

List of positive integer factors of 58830 that divides 58830 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 37, 53, 74, 106, 111, 159, 185, 222, 265, 318, 370, 530, 555, 795, 1110, 1590, 1961, 3922, 5883, 9805, 11766, 19610, 29415

Step-4: Factors of 58842

List of positive integer factors of 58842 that divides 58830 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58830 and 58842. The biggest common factor number is the GCF number.
So the greatest common factor 58830 and 58842 is 6.

Also check out the Least Common Multiple of 58830 and 58842