What is the Greatest Common Factor of 78256 and 78267?

Greatest common factor (GCF) of 78256 and 78267 is 1.

GCF(78256,78267) = 1

We will now calculate the prime factors of 78256 and 78267, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78256 and 78267.

How to find the GCF of 78256 and 78267?

We will first find the prime factorization of 78256 and 78267. After we will calculate the factors of 78256 and 78267 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 78267

Prime factors of 78267 are 3, 7, 3727. Prime factorization of 78267 in exponential form is:

78267 = 3¹ × 7¹ × 3727¹

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 78267

List of positive integer factors of 78267 that divides 78256 without a remainder.

1, 3, 7, 21, 3727, 11181, 26089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78256 and 78267. The biggest common factor number is the GCF number.
So the greatest common factor 78256 and 78267 is 1.

Also check out the Least Common Multiple of 78256 and 78267