What is the Greatest Common Factor of 28832 and 28844?

Greatest common factor (GCF) of 28832 and 28844 is 4.

GCF(28832,28844) = 4

We will now calculate the prime factors of 28832 and 28844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28832 and 28844.

How to find the GCF of 28832 and 28844?

We will first find the prime factorization of 28832 and 28844. After we will calculate the factors of 28832 and 28844 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 28844

Prime factors of 28844 are 2, 7211. Prime factorization of 28844 in exponential form is:

28844 = 2² × 7211¹

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 28844

List of positive integer factors of 28844 that divides 28832 without a remainder.

1, 2, 4, 7211, 14422

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28832 and 28844. The biggest common factor number is the GCF number.
So the greatest common factor 28832 and 28844 is 4.

Also check out the Least Common Multiple of 28832 and 28844