What is the Greatest Common Factor of 58851 and 58857?

Greatest common factor (GCF) of 58851 and 58857 is 3.

GCF(58851,58857) = 3

We will now calculate the prime factors of 58851 and 58857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58851 and 58857.

How to find the GCF of 58851 and 58857?

We will first find the prime factorization of 58851 and 58857. After we will calculate the factors of 58851 and 58857 and find the biggest common factor number .

Step-1: Prime Factorization of 58851

Prime factors of 58851 are 3, 13, 503. Prime factorization of 58851 in exponential form is:

58851 = 3² × 13¹ × 503¹

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 58851

List of positive integer factors of 58851 that divides 58851 without a remainder.

1, 3, 9, 13, 39, 117, 503, 1509, 4527, 6539, 19617

Step-4: Factors of 58857

List of positive integer factors of 58857 that divides 58851 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58851 and 58857. The biggest common factor number is the GCF number.
So the greatest common factor 58851 and 58857 is 3.

Also check out the Least Common Multiple of 58851 and 58857