What is the Greatest Common Factor of 52870 and 52887?

Greatest common factor (GCF) of 52870 and 52887 is 17.

GCF(52870,52887) = 17

We will now calculate the prime factors of 52870 and 52887, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52870 and 52887.

How to find the GCF of 52870 and 52887?

We will first find the prime factorization of 52870 and 52887. After we will calculate the factors of 52870 and 52887 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 52887

Prime factors of 52887 are 3, 17, 61. Prime factorization of 52887 in exponential form is:

52887 = 3¹ × 17² × 61¹

Step-3: Factors of 52870

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

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

Step-4: Factors of 52887

List of positive integer factors of 52887 that divides 52870 without a remainder.

1, 3, 17, 51, 61, 183, 289, 867, 1037, 3111, 17629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52870 and 52887. The biggest common factor number is the GCF number.
So the greatest common factor 52870 and 52887 is 17.

Also check out the Least Common Multiple of 52870 and 52887