What is the Greatest Common Factor of 78872 and 78878?

Greatest common factor (GCF) of 78872 and 78878 is 2.

GCF(78872,78878) = 2

We will now calculate the prime factors of 78872 and 78878, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78872 and 78878.

How to find the GCF of 78872 and 78878?

We will first find the prime factorization of 78872 and 78878. After we will calculate the factors of 78872 and 78878 and find the biggest common factor number .

Step-1: Prime Factorization of 78872

Prime factors of 78872 are 2, 9859. Prime factorization of 78872 in exponential form is:

78872 = 2³ × 9859¹

Step-2: Prime Factorization of 78878

Prime factors of 78878 are 2, 39439. Prime factorization of 78878 in exponential form is:

78878 = 2¹ × 39439¹

Step-3: Factors of 78872

List of positive integer factors of 78872 that divides 78872 without a remainder.

1, 2, 4, 8, 9859, 19718, 39436

Step-4: Factors of 78878

List of positive integer factors of 78878 that divides 78872 without a remainder.

1, 2, 39439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78872 and 78878. The biggest common factor number is the GCF number.
So the greatest common factor 78872 and 78878 is 2.

Also check out the Least Common Multiple of 78872 and 78878