What is the Greatest Common Factor of 28656 and 28669?

Greatest common factor (GCF) of 28656 and 28669 is 1.

GCF(28656,28669) = 1

We will now calculate the prime factors of 28656 and 28669, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28656 and 28669.

How to find the GCF of 28656 and 28669?

We will first find the prime factorization of 28656 and 28669. After we will calculate the factors of 28656 and 28669 and find the biggest common factor number .

Step-1: Prime Factorization of 28656

Prime factors of 28656 are 2, 3, 199. Prime factorization of 28656 in exponential form is:

28656 = 2⁴ × 3² × 199¹

Step-2: Prime Factorization of 28669

Prime factors of 28669 are 28669. Prime factorization of 28669 in exponential form is:

28669 = 28669¹

Step-3: Factors of 28656

List of positive integer factors of 28656 that divides 28656 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 199, 398, 597, 796, 1194, 1592, 1791, 2388, 3184, 3582, 4776, 7164, 9552, 14328

Step-4: Factors of 28669

List of positive integer factors of 28669 that divides 28656 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28656 and 28669. The biggest common factor number is the GCF number.
So the greatest common factor 28656 and 28669 is 1.

Also check out the Least Common Multiple of 28656 and 28669