What is the Greatest Common Factor of 2870 and 2888?

Greatest common factor (GCF) of 2870 and 2888 is 2.

GCF(2870,2888) = 2

We will now calculate the prime factors of 2870 and 2888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2870 and 2888.

How to find the GCF of 2870 and 2888?

We will first find the prime factorization of 2870 and 2888. After we will calculate the factors of 2870 and 2888 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 2888

Prime factors of 2888 are 2, 19. Prime factorization of 2888 in exponential form is:

2888 = 2³ × 19²

Step-3: Factors of 2870

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

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

Step-4: Factors of 2888

List of positive integer factors of 2888 that divides 2870 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 361, 722, 1444

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2870 and 2888. The biggest common factor number is the GCF number.
So the greatest common factor 2870 and 2888 is 2.

Also check out the Least Common Multiple of 2870 and 2888