What is the Greatest Common Factor of 2856 and 2863?

Greatest common factor (GCF) of 2856 and 2863 is 7.

GCF(2856,2863) = 7

We will now calculate the prime factors of 2856 and 2863, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2856 and 2863.

How to find the GCF of 2856 and 2863?

We will first find the prime factorization of 2856 and 2863. After we will calculate the factors of 2856 and 2863 and find the biggest common factor number .

Step-1: Prime Factorization of 2856

Prime factors of 2856 are 2, 3, 7, 17. Prime factorization of 2856 in exponential form is:

2856 = 2³ × 3¹ × 7¹ × 17¹

Step-2: Prime Factorization of 2863

Prime factors of 2863 are 7, 409. Prime factorization of 2863 in exponential form is:

2863 = 7¹ × 409¹

Step-3: Factors of 2856

List of positive integer factors of 2856 that divides 2856 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 17, 21, 24, 28, 34, 42, 51, 56, 68, 84, 102, 119, 136, 168, 204, 238, 357, 408, 476, 714, 952, 1428

Step-4: Factors of 2863

List of positive integer factors of 2863 that divides 2856 without a remainder.

1, 7, 409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2856 and 2863. The biggest common factor number is the GCF number.
So the greatest common factor 2856 and 2863 is 7.

Also check out the Least Common Multiple of 2856 and 2863