What is the Greatest Common Factor of 28736 and 28744?

Greatest common factor (GCF) of 28736 and 28744 is 8.

GCF(28736,28744) = 8

We will now calculate the prime factors of 28736 and 28744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28736 and 28744.

How to find the GCF of 28736 and 28744?

We will first find the prime factorization of 28736 and 28744. After we will calculate the factors of 28736 and 28744 and find the biggest common factor number .

Step-1: Prime Factorization of 28736

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

28736 = 2⁶ × 449¹

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 28736

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

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

Step-4: Factors of 28744

List of positive integer factors of 28744 that divides 28736 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28736 and 28744. The biggest common factor number is the GCF number.
So the greatest common factor 28736 and 28744 is 8.

Also check out the Least Common Multiple of 28736 and 28744