What is the Greatest Common Factor of 52850 and 52870?

Greatest common factor (GCF) of 52850 and 52870 is 10.

GCF(52850,52870) = 10

We will now calculate the prime factors of 52850 and 52870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52850 and 52870.

How to find the GCF of 52850 and 52870?

We will first find the prime factorization of 52850 and 52870. After we will calculate the factors of 52850 and 52870 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 52870

Prime factors of 52870 are 2, 5, 17, 311. Prime factorization of 52870 in exponential form is:

52870 = 2¹ × 5¹ × 17¹ × 311¹

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 52870

List of positive integer factors of 52870 that divides 52850 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 311, 622, 1555, 3110, 5287, 10574, 26435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52850 and 52870. The biggest common factor number is the GCF number.
So the greatest common factor 52850 and 52870 is 10.

Also check out the Least Common Multiple of 52850 and 52870