What is the Greatest Common Factor of 28724 and 28728?

Greatest common factor (GCF) of 28724 and 28728 is 4.

GCF(28724,28728) = 4

We will now calculate the prime factors of 28724 and 28728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28724 and 28728.

How to find the GCF of 28724 and 28728?

We will first find the prime factorization of 28724 and 28728. After we will calculate the factors of 28724 and 28728 and find the biggest common factor number .

Step-1: Prime Factorization of 28724

Prime factors of 28724 are 2, 43, 167. Prime factorization of 28724 in exponential form is:

28724 = 2² × 43¹ × 167¹

Step-2: 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-3: Factors of 28724

List of positive integer factors of 28724 that divides 28724 without a remainder.

1, 2, 4, 43, 86, 167, 172, 334, 668, 7181, 14362

Step-4: Factors of 28728

List of positive integer factors of 28728 that divides 28724 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28724 and 28728. The biggest common factor number is the GCF number.
So the greatest common factor 28724 and 28728 is 4.

Also check out the Least Common Multiple of 28724 and 28728