What is the Greatest Common Factor of 78256 and 78262?

Greatest common factor (GCF) of 78256 and 78262 is 2.

GCF(78256,78262) = 2

We will now calculate the prime factors of 78256 and 78262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78256 and 78262.

How to find the GCF of 78256 and 78262?

We will first find the prime factorization of 78256 and 78262. After we will calculate the factors of 78256 and 78262 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 78262

Prime factors of 78262 are 2, 109, 359. Prime factorization of 78262 in exponential form is:

78262 = 2¹ × 109¹ × 359¹

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 78262

List of positive integer factors of 78262 that divides 78256 without a remainder.

1, 2, 109, 218, 359, 718, 39131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78256 and 78262. The biggest common factor number is the GCF number.
So the greatest common factor 78256 and 78262 is 2.

Also check out the Least Common Multiple of 78256 and 78262