What is the Greatest Common Factor of 78459 and 78465?

Greatest common factor (GCF) of 78459 and 78465 is 3.

GCF(78459,78465) = 3

We will now calculate the prime factors of 78459 and 78465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78459 and 78465.

How to find the GCF of 78459 and 78465?

We will first find the prime factorization of 78459 and 78465. After we will calculate the factors of 78459 and 78465 and find the biggest common factor number .

Step-1: Prime Factorization of 78459

Prime factors of 78459 are 3, 26153. Prime factorization of 78459 in exponential form is:

78459 = 3¹ × 26153¹

Step-2: Prime Factorization of 78465

Prime factors of 78465 are 3, 5, 5231. Prime factorization of 78465 in exponential form is:

78465 = 3¹ × 5¹ × 5231¹

Step-3: Factors of 78459

List of positive integer factors of 78459 that divides 78459 without a remainder.

1, 3, 26153

Step-4: Factors of 78465

List of positive integer factors of 78465 that divides 78459 without a remainder.

1, 3, 5, 15, 5231, 15693, 26155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78459 and 78465. The biggest common factor number is the GCF number.
So the greatest common factor 78459 and 78465 is 3.

Also check out the Least Common Multiple of 78459 and 78465