What is the Greatest Common Factor of 78255 and 78269?

Greatest common factor (GCF) of 78255 and 78269 is 1.

GCF(78255,78269) = 1

We will now calculate the prime factors of 78255 and 78269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78255 and 78269.

How to find the GCF of 78255 and 78269?

We will first find the prime factorization of 78255 and 78269. After we will calculate the factors of 78255 and 78269 and find the biggest common factor number .

Step-1: Prime Factorization of 78255

Prime factors of 78255 are 3, 5, 37, 47. Prime factorization of 78255 in exponential form is:

78255 = 3² × 5¹ × 37¹ × 47¹

Step-2: Prime Factorization of 78269

Prime factors of 78269 are 23, 41, 83. Prime factorization of 78269 in exponential form is:

78269 = 23¹ × 41¹ × 83¹

Step-3: Factors of 78255

List of positive integer factors of 78255 that divides 78255 without a remainder.

1, 3, 5, 9, 15, 37, 45, 47, 111, 141, 185, 235, 333, 423, 555, 705, 1665, 1739, 2115, 5217, 8695, 15651, 26085

Step-4: Factors of 78269

List of positive integer factors of 78269 that divides 78255 without a remainder.

1, 23, 41, 83, 943, 1909, 3403

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78255 and 78269. The biggest common factor number is the GCF number.
So the greatest common factor 78255 and 78269 is 1.

Also check out the Least Common Multiple of 78255 and 78269