What is the Greatest Common Factor of 78255 and 78270?

Greatest common factor (GCF) of 78255 and 78270 is 15.

GCF(78255,78270) = 15

We will now calculate the prime factors of 78255 and 78270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78255 and 78270.

How to find the GCF of 78255 and 78270?

We will first find the prime factorization of 78255 and 78270. After we will calculate the factors of 78255 and 78270 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 78270

Prime factors of 78270 are 2, 3, 5, 2609. Prime factorization of 78270 in exponential form is:

78270 = 2¹ × 3¹ × 5¹ × 2609¹

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 78270

List of positive integer factors of 78270 that divides 78255 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2609, 5218, 7827, 13045, 15654, 26090, 39135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78255 and 78270. The biggest common factor number is the GCF number.
So the greatest common factor 78255 and 78270 is 15.

Also check out the Least Common Multiple of 78255 and 78270