What is the Greatest Common Factor of 2842 and 2856?

Greatest common factor (GCF) of 2842 and 2856 is 14.

GCF(2842,2856) = 14

We will now calculate the prime factors of 2842 and 2856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2842 and 2856.

How to find the GCF of 2842 and 2856?

We will first find the prime factorization of 2842 and 2856. After we will calculate the factors of 2842 and 2856 and find the biggest common factor number .

Step-1: Prime Factorization of 2842

Prime factors of 2842 are 2, 7, 29. Prime factorization of 2842 in exponential form is:

2842 = 2¹ × 7² × 29¹

Step-2: 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-3: Factors of 2842

List of positive integer factors of 2842 that divides 2842 without a remainder.

1, 2, 7, 14, 29, 49, 58, 98, 203, 406, 1421

Step-4: Factors of 2856

List of positive integer factors of 2856 that divides 2842 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2842 and 2856. The biggest common factor number is the GCF number.
So the greatest common factor 2842 and 2856 is 14.

Also check out the Least Common Multiple of 2842 and 2856