What is the Greatest Common Factor of 2870 and 2877?

Greatest common factor (GCF) of 2870 and 2877 is 7.

GCF(2870,2877) = 7

We will now calculate the prime factors of 2870 and 2877, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2870 and 2877.

How to find the GCF of 2870 and 2877?

We will first find the prime factorization of 2870 and 2877. After we will calculate the factors of 2870 and 2877 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 2877

Prime factors of 2877 are 3, 7, 137. Prime factorization of 2877 in exponential form is:

2877 = 3¹ × 7¹ × 137¹

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 2877

List of positive integer factors of 2877 that divides 2870 without a remainder.

1, 3, 7, 21, 137, 411, 959

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2870 and 2877. The biggest common factor number is the GCF number.
So the greatest common factor 2870 and 2877 is 7.

Also check out the Least Common Multiple of 2870 and 2877