What is the Greatest Common Factor of 80256 and 80276?

Greatest common factor (GCF) of 80256 and 80276 is 4.

GCF(80256,80276) = 4

We will now calculate the prime factors of 80256 and 80276, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80256 and 80276.

How to find the GCF of 80256 and 80276?

We will first find the prime factorization of 80256 and 80276. After we will calculate the factors of 80256 and 80276 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 80276

Prime factors of 80276 are 2, 7, 47, 61. Prime factorization of 80276 in exponential form is:

80276 = 2² × 7¹ × 47¹ × 61¹

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 80276

List of positive integer factors of 80276 that divides 80256 without a remainder.

1, 2, 4, 7, 14, 28, 47, 61, 94, 122, 188, 244, 329, 427, 658, 854, 1316, 1708, 2867, 5734, 11468, 20069, 40138

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80256 and 80276. The biggest common factor number is the GCF number.
So the greatest common factor 80256 and 80276 is 4.

Also check out the Least Common Multiple of 80256 and 80276