What is the Greatest Common Factor of 28428 and 28432?

Greatest common factor (GCF) of 28428 and 28432 is 4.

GCF(28428,28432) = 4

We will now calculate the prime factors of 28428 and 28432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28428 and 28432.

How to find the GCF of 28428 and 28432?

We will first find the prime factorization of 28428 and 28432. After we will calculate the factors of 28428 and 28432 and find the biggest common factor number .

Step-1: Prime Factorization of 28428

Prime factors of 28428 are 2, 3, 23, 103. Prime factorization of 28428 in exponential form is:

28428 = 2² × 3¹ × 23¹ × 103¹

Step-2: Prime Factorization of 28432

Prime factors of 28432 are 2, 1777. Prime factorization of 28432 in exponential form is:

28432 = 2⁴ × 1777¹

Step-3: Factors of 28428

List of positive integer factors of 28428 that divides 28428 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 103, 138, 206, 276, 309, 412, 618, 1236, 2369, 4738, 7107, 9476, 14214

Step-4: Factors of 28432

List of positive integer factors of 28432 that divides 28428 without a remainder.

1, 2, 4, 8, 16, 1777, 3554, 7108, 14216

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28428 and 28432. The biggest common factor number is the GCF number.
So the greatest common factor 28428 and 28432 is 4.

Also check out the Least Common Multiple of 28428 and 28432