What is the Greatest Common Factor of 78450 and 78459?

Greatest common factor (GCF) of 78450 and 78459 is 3.

GCF(78450,78459) = 3

We will now calculate the prime factors of 78450 and 78459, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78450 and 78459.

How to find the GCF of 78450 and 78459?

We will first find the prime factorization of 78450 and 78459. After we will calculate the factors of 78450 and 78459 and find the biggest common factor number .

Step-1: Prime Factorization of 78450

Prime factors of 78450 are 2, 3, 5, 523. Prime factorization of 78450 in exponential form is:

78450 = 2¹ × 3¹ × 5² × 523¹

Step-2: Prime Factorization of 78459

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

78459 = 3¹ × 26153¹

Step-3: Factors of 78450

List of positive integer factors of 78450 that divides 78450 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 523, 1046, 1569, 2615, 3138, 5230, 7845, 13075, 15690, 26150, 39225

Step-4: Factors of 78459

List of positive integer factors of 78459 that divides 78450 without a remainder.

1, 3, 26153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78450 and 78459. The biggest common factor number is the GCF number.
So the greatest common factor 78450 and 78459 is 3.

Also check out the Least Common Multiple of 78450 and 78459