What is the Greatest Common Factor of 78855 and 78869?

Greatest common factor (GCF) of 78855 and 78869 is 7.

GCF(78855,78869) = 7

We will now calculate the prime factors of 78855 and 78869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78855 and 78869.

How to find the GCF of 78855 and 78869?

We will first find the prime factorization of 78855 and 78869. After we will calculate the factors of 78855 and 78869 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 78869

Prime factors of 78869 are 7, 19, 593. Prime factorization of 78869 in exponential form is:

78869 = 7¹ × 19¹ × 593¹

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 78869

List of positive integer factors of 78869 that divides 78855 without a remainder.

1, 7, 19, 133, 593, 4151, 11267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78855 and 78869. The biggest common factor number is the GCF number.
So the greatest common factor 78855 and 78869 is 7.

Also check out the Least Common Multiple of 78855 and 78869