What is the Greatest Common Factor of 28724 and 28736?

Greatest common factor (GCF) of 28724 and 28736 is 4.

GCF(28724,28736) = 4

We will now calculate the prime factors of 28724 and 28736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28724 and 28736.

How to find the GCF of 28724 and 28736?

We will first find the prime factorization of 28724 and 28736. After we will calculate the factors of 28724 and 28736 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 28736

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

28736 = 2⁶ × 449¹

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 28736

List of positive integer factors of 28736 that divides 28724 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 28724 and 28736. The biggest common factor number is the GCF number.
So the greatest common factor 28724 and 28736 is 4.

Also check out the Least Common Multiple of 28724 and 28736