What is the Greatest Common Factor of 28728 and 28744?

Greatest common factor (GCF) of 28728 and 28744 is 8.

GCF(28728,28744) = 8

We will now calculate the prime factors of 28728 and 28744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28728 and 28744.

How to find the GCF of 28728 and 28744?

We will first find the prime factorization of 28728 and 28744. After we will calculate the factors of 28728 and 28744 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 28744

Prime factors of 28744 are 2, 3593. Prime factorization of 28744 in exponential form is:

28744 = 2³ × 3593¹

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 28744

List of positive integer factors of 28744 that divides 28728 without a remainder.

1, 2, 4, 8, 3593, 7186, 14372

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28728 and 28744. The biggest common factor number is the GCF number.
So the greatest common factor 28728 and 28744 is 8.

Also check out the Least Common Multiple of 28728 and 28744