What is the Greatest Common Factor of 28456 and 28464?

Greatest common factor (GCF) of 28456 and 28464 is 8.

GCF(28456,28464) = 8

We will now calculate the prime factors of 28456 and 28464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28456 and 28464.

How to find the GCF of 28456 and 28464?

We will first find the prime factorization of 28456 and 28464. After we will calculate the factors of 28456 and 28464 and find the biggest common factor number .

Step-1: Prime Factorization of 28456

Prime factors of 28456 are 2, 3557. Prime factorization of 28456 in exponential form is:

28456 = 2³ × 3557¹

Step-2: Prime Factorization of 28464

Prime factors of 28464 are 2, 3, 593. Prime factorization of 28464 in exponential form is:

28464 = 2⁴ × 3¹ × 593¹

Step-3: Factors of 28456

List of positive integer factors of 28456 that divides 28456 without a remainder.

1, 2, 4, 8, 3557, 7114, 14228

Step-4: Factors of 28464

List of positive integer factors of 28464 that divides 28456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 593, 1186, 1779, 2372, 3558, 4744, 7116, 9488, 14232

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28456 and 28464. The biggest common factor number is the GCF number.
So the greatest common factor 28456 and 28464 is 8.

Also check out the Least Common Multiple of 28456 and 28464