What is the Greatest Common Factor of 28842 and 28853?

Greatest common factor (GCF) of 28842 and 28853 is 11.

GCF(28842,28853) = 11

We will now calculate the prime factors of 28842 and 28853, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28842 and 28853.

How to find the GCF of 28842 and 28853?

We will first find the prime factorization of 28842 and 28853. After we will calculate the factors of 28842 and 28853 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28853

Prime factors of 28853 are 11, 43, 61. Prime factorization of 28853 in exponential form is:

28853 = 11¹ × 43¹ × 61¹

Step-3: Factors of 28842

List of positive integer factors of 28842 that divides 28842 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

Step-4: Factors of 28853

List of positive integer factors of 28853 that divides 28842 without a remainder.

1, 11, 43, 61, 473, 671, 2623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28842 and 28853. The biggest common factor number is the GCF number.
So the greatest common factor 28842 and 28853 is 11.

Also check out the Least Common Multiple of 28842 and 28853