What is the Greatest Common Factor of 28814 and 28832?

Greatest common factor (GCF) of 28814 and 28832 is 2.

GCF(28814,28832) = 2

We will now calculate the prime factors of 28814 and 28832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28814 and 28832.

How to find the GCF of 28814 and 28832?

We will first find the prime factorization of 28814 and 28832. After we will calculate the factors of 28814 and 28832 and find the biggest common factor number .

Step-1: Prime Factorization of 28814

Prime factors of 28814 are 2, 14407. Prime factorization of 28814 in exponential form is:

28814 = 2¹ × 14407¹

Step-2: Prime Factorization of 28832

Prime factors of 28832 are 2, 17, 53. Prime factorization of 28832 in exponential form is:

28832 = 2⁵ × 17¹ × 53¹

Step-3: Factors of 28814

List of positive integer factors of 28814 that divides 28814 without a remainder.

1, 2, 14407

Step-4: Factors of 28832

List of positive integer factors of 28832 that divides 28814 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 53, 68, 106, 136, 212, 272, 424, 544, 848, 901, 1696, 1802, 3604, 7208, 14416

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28814 and 28832. The biggest common factor number is the GCF number.
So the greatest common factor 28814 and 28832 is 2.

Also check out the Least Common Multiple of 28814 and 28832