What is the Greatest Common Factor of 58821 and 58828?

Greatest common factor (GCF) of 58821 and 58828 is 7.

GCF(58821,58828) = 7

We will now calculate the prime factors of 58821 and 58828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58821 and 58828.

How to find the GCF of 58821 and 58828?

We will first find the prime factorization of 58821 and 58828. After we will calculate the factors of 58821 and 58828 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 58828

Prime factors of 58828 are 2, 7, 11, 191. Prime factorization of 58828 in exponential form is:

58828 = 2² × 7¹ × 11¹ × 191¹

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 58828

List of positive integer factors of 58828 that divides 58821 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 191, 308, 382, 764, 1337, 2101, 2674, 4202, 5348, 8404, 14707, 29414

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58821 and 58828. The biggest common factor number is the GCF number.
So the greatest common factor 58821 and 58828 is 7.

Also check out the Least Common Multiple of 58821 and 58828