What is the Greatest Common Factor of 78256 and 78265?

Greatest common factor (GCF) of 78256 and 78265 is 1.

GCF(78256,78265) = 1

We will now calculate the prime factors of 78256 and 78265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78256 and 78265.

How to find the GCF of 78256 and 78265?

We will first find the prime factorization of 78256 and 78265. After we will calculate the factors of 78256 and 78265 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 78265

Prime factors of 78265 are 5, 11, 1423. Prime factorization of 78265 in exponential form is:

78265 = 5¹ × 11¹ × 1423¹

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 78265

List of positive integer factors of 78265 that divides 78256 without a remainder.

1, 5, 11, 55, 1423, 7115, 15653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78256 and 78265. The biggest common factor number is the GCF number.
So the greatest common factor 78256 and 78265 is 1.

Also check out the Least Common Multiple of 78256 and 78265