What is the Greatest Common Factor of 78256 and 78266?

Greatest common factor (GCF) of 78256 and 78266 is 2.

GCF(78256,78266) = 2

We will now calculate the prime factors of 78256 and 78266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78256 and 78266.

How to find the GCF of 78256 and 78266?

We will first find the prime factorization of 78256 and 78266. After we will calculate the factors of 78256 and 78266 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 78266

Prime factors of 78266 are 2, 39133. Prime factorization of 78266 in exponential form is:

78266 = 2¹ × 39133¹

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 78266

List of positive integer factors of 78266 that divides 78256 without a remainder.

1, 2, 39133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78256 and 78266. The biggest common factor number is the GCF number.
So the greatest common factor 78256 and 78266 is 2.

Also check out the Least Common Multiple of 78256 and 78266