What is the Greatest Common Factor of 78249 and 78255?

Greatest common factor (GCF) of 78249 and 78255 is 3.

GCF(78249,78255) = 3

We will now calculate the prime factors of 78249 and 78255, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78249 and 78255.

How to find the GCF of 78249 and 78255?

We will first find the prime factorization of 78249 and 78255. After we will calculate the factors of 78249 and 78255 and find the biggest common factor number .

Step-1: Prime Factorization of 78249

Prime factors of 78249 are 3, 26083. Prime factorization of 78249 in exponential form is:

78249 = 3¹ × 26083¹

Step-2: 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-3: Factors of 78249

List of positive integer factors of 78249 that divides 78249 without a remainder.

1, 3, 26083

Step-4: Factors of 78255

List of positive integer factors of 78255 that divides 78249 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78249 and 78255. The biggest common factor number is the GCF number.
So the greatest common factor 78249 and 78255 is 3.

Also check out the Least Common Multiple of 78249 and 78255