What is the Greatest Common Factor of 52850 and 52857?

Greatest common factor (GCF) of 52850 and 52857 is 7.

GCF(52850,52857) = 7

We will now calculate the prime factors of 52850 and 52857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52850 and 52857.

How to find the GCF of 52850 and 52857?

We will first find the prime factorization of 52850 and 52857. After we will calculate the factors of 52850 and 52857 and find the biggest common factor number .

Step-1: Prime Factorization of 52850

Prime factors of 52850 are 2, 5, 7, 151. Prime factorization of 52850 in exponential form is:

52850 = 2¹ × 5² × 7¹ × 151¹

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 52850

List of positive integer factors of 52850 that divides 52850 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 151, 175, 302, 350, 755, 1057, 1510, 2114, 3775, 5285, 7550, 10570, 26425

Step-4: Factors of 52857

List of positive integer factors of 52857 that divides 52850 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 52850 and 52857. The biggest common factor number is the GCF number.
So the greatest common factor 52850 and 52857 is 7.

Also check out the Least Common Multiple of 52850 and 52857