What is the Greatest Common Factor of 78855 and 78873?

Greatest common factor (GCF) of 78855 and 78873 is 3.

GCF(78855,78873) = 3

We will now calculate the prime factors of 78855 and 78873, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78855 and 78873.

How to find the GCF of 78855 and 78873?

We will first find the prime factorization of 78855 and 78873. After we will calculate the factors of 78855 and 78873 and find the biggest common factor number .

Step-1: Prime Factorization of 78855

Prime factors of 78855 are 3, 5, 7, 751. Prime factorization of 78855 in exponential form is:

78855 = 3¹ × 5¹ × 7¹ × 751¹

Step-2: Prime Factorization of 78873

Prime factors of 78873 are 3, 61, 431. Prime factorization of 78873 in exponential form is:

78873 = 3¹ × 61¹ × 431¹

Step-3: Factors of 78855

List of positive integer factors of 78855 that divides 78855 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 751, 2253, 3755, 5257, 11265, 15771, 26285

Step-4: Factors of 78873

List of positive integer factors of 78873 that divides 78855 without a remainder.

1, 3, 61, 183, 431, 1293, 26291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78855 and 78873. The biggest common factor number is the GCF number.
So the greatest common factor 78855 and 78873 is 3.

Also check out the Least Common Multiple of 78855 and 78873