What is the Greatest Common Factor of 28832 and 28849?

Greatest common factor (GCF) of 28832 and 28849 is 17.

GCF(28832,28849) = 17

We will now calculate the prime factors of 28832 and 28849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28832 and 28849.

How to find the GCF of 28832 and 28849?

We will first find the prime factorization of 28832 and 28849. After we will calculate the factors of 28832 and 28849 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28849

Prime factors of 28849 are 17, 1697. Prime factorization of 28849 in exponential form is:

28849 = 17¹ × 1697¹

Step-3: Factors of 28832

List of positive integer factors of 28832 that divides 28832 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

Step-4: Factors of 28849

List of positive integer factors of 28849 that divides 28832 without a remainder.

1, 17, 1697

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28832 and 28849. The biggest common factor number is the GCF number.
So the greatest common factor 28832 and 28849 is 17.

Also check out the Least Common Multiple of 28832 and 28849