What is the Greatest Common Factor of 28564 and 28576?

Greatest common factor (GCF) of 28564 and 28576 is 4.

GCF(28564,28576) = 4

We will now calculate the prime factors of 28564 and 28576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28564 and 28576.

How to find the GCF of 28564 and 28576?

We will first find the prime factorization of 28564 and 28576. After we will calculate the factors of 28564 and 28576 and find the biggest common factor number .

Step-1: Prime Factorization of 28564

Prime factors of 28564 are 2, 37, 193. Prime factorization of 28564 in exponential form is:

28564 = 2² × 37¹ × 193¹

Step-2: Prime Factorization of 28576

Prime factors of 28576 are 2, 19, 47. Prime factorization of 28576 in exponential form is:

28576 = 2⁵ × 19¹ × 47¹

Step-3: Factors of 28564

List of positive integer factors of 28564 that divides 28564 without a remainder.

1, 2, 4, 37, 74, 148, 193, 386, 772, 7141, 14282

Step-4: Factors of 28576

List of positive integer factors of 28576 that divides 28564 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 47, 76, 94, 152, 188, 304, 376, 608, 752, 893, 1504, 1786, 3572, 7144, 14288

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28564 and 28576. The biggest common factor number is the GCF number.
So the greatest common factor 28564 and 28576 is 4.

Also check out the Least Common Multiple of 28564 and 28576