What is the Greatest Common Factor of 28728 and 28736?

Greatest common factor (GCF) of 28728 and 28736 is 8.

GCF(28728,28736) = 8

We will now calculate the prime factors of 28728 and 28736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28728 and 28736.

How to find the GCF of 28728 and 28736?

We will first find the prime factorization of 28728 and 28736. After we will calculate the factors of 28728 and 28736 and find the biggest common factor number .

Step-1: Prime Factorization of 28728

Prime factors of 28728 are 2, 3, 7, 19. Prime factorization of 28728 in exponential form is:

28728 = 2³ × 3³ × 7¹ × 19¹

Step-2: Prime Factorization of 28736

Prime factors of 28736 are 2, 449. Prime factorization of 28736 in exponential form is:

28736 = 2⁶ × 449¹

Step-3: Factors of 28728

List of positive integer factors of 28728 that divides 28728 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 19, 21, 24, 27, 28, 36, 38, 42, 54, 56, 57, 63, 72, 76, 84, 108, 114, 126, 133, 152, 168, 171, 189, 216, 228, 252, 266, 342, 378, 399, 456, 504, 513, 532, 684, 756, 798, 1026, 1064, 1197, 1368, 1512, 1596, 2052, 2394, 3192, 3591, 4104, 4788, 7182, 9576, 14364

Step-4: Factors of 28736

List of positive integer factors of 28736 that divides 28728 without a remainder.

1, 2, 4, 8, 16, 32, 64, 449, 898, 1796, 3592, 7184, 14368

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28728 and 28736. The biggest common factor number is the GCF number.
So the greatest common factor 28728 and 28736 is 8.

Also check out the Least Common Multiple of 28728 and 28736