What is the Greatest Common Factor of 78256 and 78272?

Greatest common factor (GCF) of 78256 and 78272 is 16.

GCF(78256,78272) = 16

We will now calculate the prime factors of 78256 and 78272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78256 and 78272.

How to find the GCF of 78256 and 78272?

We will first find the prime factorization of 78256 and 78272. After we will calculate the factors of 78256 and 78272 and find the biggest common factor number .

Step-1: Prime Factorization of 78256

Prime factors of 78256 are 2, 67, 73. Prime factorization of 78256 in exponential form is:

78256 = 2⁴ × 67¹ × 73¹

Step-2: Prime Factorization of 78272

Prime factors of 78272 are 2, 1223. Prime factorization of 78272 in exponential form is:

78272 = 2⁶ × 1223¹

Step-3: Factors of 78256

List of positive integer factors of 78256 that divides 78256 without a remainder.

1, 2, 4, 8, 16, 67, 73, 134, 146, 268, 292, 536, 584, 1072, 1168, 4891, 9782, 19564, 39128

Step-4: Factors of 78272

List of positive integer factors of 78272 that divides 78256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1223, 2446, 4892, 9784, 19568, 39136

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78256 and 78272. The biggest common factor number is the GCF number.
So the greatest common factor 78256 and 78272 is 16.

Also check out the Least Common Multiple of 78256 and 78272