What is the Greatest Common Factor of 2870 and 2890?

Greatest common factor (GCF) of 2870 and 2890 is 10.

GCF(2870,2890) = 10

We will now calculate the prime factors of 2870 and 2890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2870 and 2890.

How to find the GCF of 2870 and 2890?

We will first find the prime factorization of 2870 and 2890. After we will calculate the factors of 2870 and 2890 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 2890

Prime factors of 2890 are 2, 5, 17. Prime factorization of 2890 in exponential form is:

2890 = 2¹ × 5¹ × 17²

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 2890

List of positive integer factors of 2890 that divides 2870 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 289, 578, 1445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2870 and 2890. The biggest common factor number is the GCF number.
So the greatest common factor 2870 and 2890 is 10.

Also check out the Least Common Multiple of 2870 and 2890