What is the Greatest Common Factor of 2852 and 2870?

Greatest common factor (GCF) of 2852 and 2870 is 2.

GCF(2852,2870) = 2

We will now calculate the prime factors of 2852 and 2870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2852 and 2870.

How to find the GCF of 2852 and 2870?

We will first find the prime factorization of 2852 and 2870. After we will calculate the factors of 2852 and 2870 and find the biggest common factor number .

Step-1: Prime Factorization of 2852

Prime factors of 2852 are 2, 23, 31. Prime factorization of 2852 in exponential form is:

2852 = 2² × 23¹ × 31¹

Step-2: Prime Factorization of 2870

Prime factors of 2870 are 2, 5, 7, 41. Prime factorization of 2870 in exponential form is:

2870 = 2¹ × 5¹ × 7¹ × 41¹

Step-3: Factors of 2852

List of positive integer factors of 2852 that divides 2852 without a remainder.

1, 2, 4, 23, 31, 46, 62, 92, 124, 713, 1426

Step-4: Factors of 2870

List of positive integer factors of 2870 that divides 2852 without a remainder.

1, 2, 5, 7, 10, 14, 35, 41, 70, 82, 205, 287, 410, 574, 1435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2852 and 2870. The biggest common factor number is the GCF number.
So the greatest common factor 2852 and 2870 is 2.

Also check out the Least Common Multiple of 2852 and 2870