What is the Greatest Common Factor of 28826 and 28842?

Greatest common factor (GCF) of 28826 and 28842 is 2.

GCF(28826,28842) = 2

We will now calculate the prime factors of 28826 and 28842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28826 and 28842.

How to find the GCF of 28826 and 28842?

We will first find the prime factorization of 28826 and 28842. After we will calculate the factors of 28826 and 28842 and find the biggest common factor number .

Step-1: Prime Factorization of 28826

Prime factors of 28826 are 2, 7, 29, 71. Prime factorization of 28826 in exponential form is:

28826 = 2¹ × 7¹ × 29¹ × 71¹

Step-2: Prime Factorization of 28842

Prime factors of 28842 are 2, 3, 11, 19, 23. Prime factorization of 28842 in exponential form is:

28842 = 2¹ × 3¹ × 11¹ × 19¹ × 23¹

Step-3: Factors of 28826

List of positive integer factors of 28826 that divides 28826 without a remainder.

1, 2, 7, 14, 29, 58, 71, 142, 203, 406, 497, 994, 2059, 4118, 14413

Step-4: Factors of 28842

List of positive integer factors of 28842 that divides 28826 without a remainder.

1, 2, 3, 6, 11, 19, 22, 23, 33, 38, 46, 57, 66, 69, 114, 138, 209, 253, 418, 437, 506, 627, 759, 874, 1254, 1311, 1518, 2622, 4807, 9614, 14421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28826 and 28842. The biggest common factor number is the GCF number.
So the greatest common factor 28826 and 28842 is 2.

Also check out the Least Common Multiple of 28826 and 28842