What is the Greatest Common Factor of 28640 and 28656?

Greatest common factor (GCF) of 28640 and 28656 is 16.

GCF(28640,28656) = 16

We will now calculate the prime factors of 28640 and 28656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28640 and 28656.

How to find the GCF of 28640 and 28656?

We will first find the prime factorization of 28640 and 28656. After we will calculate the factors of 28640 and 28656 and find the biggest common factor number .

Step-1: Prime Factorization of 28640

Prime factors of 28640 are 2, 5, 179. Prime factorization of 28640 in exponential form is:

28640 = 2⁵ × 5¹ × 179¹

Step-2: 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-3: Factors of 28640

List of positive integer factors of 28640 that divides 28640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 179, 358, 716, 895, 1432, 1790, 2864, 3580, 5728, 7160, 14320

Step-4: Factors of 28656

List of positive integer factors of 28656 that divides 28640 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28640 and 28656. The biggest common factor number is the GCF number.
So the greatest common factor 28640 and 28656 is 16.

Also check out the Least Common Multiple of 28640 and 28656