What is the Greatest Common Factor of 52851 and 52857?

Greatest common factor (GCF) of 52851 and 52857 is 3.

GCF(52851,52857) = 3

We will now calculate the prime factors of 52851 and 52857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52851 and 52857.

How to find the GCF of 52851 and 52857?

We will first find the prime factorization of 52851 and 52857. After we will calculate the factors of 52851 and 52857 and find the biggest common factor number .

Step-1: Prime Factorization of 52851

Prime factors of 52851 are 3, 79, 223. Prime factorization of 52851 in exponential form is:

52851 = 3¹ × 79¹ × 223¹

Step-2: Prime Factorization of 52857

Prime factors of 52857 are 3, 7, 839. Prime factorization of 52857 in exponential form is:

52857 = 3² × 7¹ × 839¹

Step-3: Factors of 52851

List of positive integer factors of 52851 that divides 52851 without a remainder.

1, 3, 79, 223, 237, 669, 17617

Step-4: Factors of 52857

List of positive integer factors of 52857 that divides 52851 without a remainder.

1, 3, 7, 9, 21, 63, 839, 2517, 5873, 7551, 17619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52851 and 52857. The biggest common factor number is the GCF number.
So the greatest common factor 52851 and 52857 is 3.

Also check out the Least Common Multiple of 52851 and 52857