What is the Greatest Common Factor of 52852 and 52870?

Greatest common factor (GCF) of 52852 and 52870 is 2.

GCF(52852,52870) = 2

We will now calculate the prime factors of 52852 and 52870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52852 and 52870.

How to find the GCF of 52852 and 52870?

We will first find the prime factorization of 52852 and 52870. After we will calculate the factors of 52852 and 52870 and find the biggest common factor number .

Step-1: Prime Factorization of 52852

Prime factors of 52852 are 2, 73, 181. Prime factorization of 52852 in exponential form is:

52852 = 2² × 73¹ × 181¹

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 52852

List of positive integer factors of 52852 that divides 52852 without a remainder.

1, 2, 4, 73, 146, 181, 292, 362, 724, 13213, 26426

Step-4: Factors of 52870

List of positive integer factors of 52870 that divides 52852 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 52852 and 52870. The biggest common factor number is the GCF number.
So the greatest common factor 52852 and 52870 is 2.

Also check out the Least Common Multiple of 52852 and 52870