What is the Greatest Common Factor of 80238 and 80256?

Greatest common factor (GCF) of 80238 and 80256 is 6.

GCF(80238,80256) = 6

We will now calculate the prime factors of 80238 and 80256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80238 and 80256.

How to find the GCF of 80238 and 80256?

We will first find the prime factorization of 80238 and 80256. After we will calculate the factors of 80238 and 80256 and find the biggest common factor number .

Step-1: Prime Factorization of 80238

Prime factors of 80238 are 2, 3, 43, 311. Prime factorization of 80238 in exponential form is:

80238 = 2¹ × 3¹ × 43¹ × 311¹

Step-2: 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-3: Factors of 80238

List of positive integer factors of 80238 that divides 80238 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258, 311, 622, 933, 1866, 13373, 26746, 40119

Step-4: Factors of 80256

List of positive integer factors of 80256 that divides 80238 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80238 and 80256. The biggest common factor number is the GCF number.
So the greatest common factor 80238 and 80256 is 6.

Also check out the Least Common Multiple of 80238 and 80256