What is the Greatest Common Factor of 58821 and 58830?

Greatest common factor (GCF) of 58821 and 58830 is 3.

GCF(58821,58830) = 3

We will now calculate the prime factors of 58821 and 58830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58821 and 58830.

How to find the GCF of 58821 and 58830?

We will first find the prime factorization of 58821 and 58830. After we will calculate the factors of 58821 and 58830 and find the biggest common factor number .

Step-1: Prime Factorization of 58821

Prime factors of 58821 are 3, 7, 2801. Prime factorization of 58821 in exponential form is:

58821 = 3¹ × 7¹ × 2801¹

Step-2: 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-3: Factors of 58821

List of positive integer factors of 58821 that divides 58821 without a remainder.

1, 3, 7, 21, 2801, 8403, 19607

Step-4: Factors of 58830

List of positive integer factors of 58830 that divides 58821 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58821 and 58830. The biggest common factor number is the GCF number.
So the greatest common factor 58821 and 58830 is 3.

Also check out the Least Common Multiple of 58821 and 58830