What is the Greatest Common Factor of 80256 and 80268?

Greatest common factor (GCF) of 80256 and 80268 is 12.

GCF(80256,80268) = 12

We will now calculate the prime factors of 80256 and 80268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80256 and 80268.

How to find the GCF of 80256 and 80268?

We will first find the prime factorization of 80256 and 80268. After we will calculate the factors of 80256 and 80268 and find the biggest common factor number .

Step-1: Prime Factorization of 80256

Prime factors of 80256 are 2, 3, 11, 19. Prime factorization of 80256 in exponential form is:

80256 = 2⁷ × 3¹ × 11¹ × 19¹

Step-2: Prime Factorization of 80268

Prime factors of 80268 are 2, 3, 6689. Prime factorization of 80268 in exponential form is:

80268 = 2² × 3¹ × 6689¹

Step-3: Factors of 80256

List of positive integer factors of 80256 that divides 80256 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 19, 22, 24, 32, 33, 38, 44, 48, 57, 64, 66, 76, 88, 96, 114, 128, 132, 152, 176, 192, 209, 228, 264, 304, 352, 384, 418, 456, 528, 608, 627, 704, 836, 912, 1056, 1216, 1254, 1408, 1672, 1824, 2112, 2432, 2508, 3344, 3648, 4224, 5016, 6688, 7296, 10032, 13376, 20064, 26752, 40128

Step-4: Factors of 80268

List of positive integer factors of 80268 that divides 80256 without a remainder.

1, 2, 3, 4, 6, 12, 6689, 13378, 20067, 26756, 40134

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80256 and 80268. The biggest common factor number is the GCF number.
So the greatest common factor 80256 and 80268 is 12.

Also check out the Least Common Multiple of 80256 and 80268