What is the Greatest Common Factor of 78858 and 78872?

Greatest common factor (GCF) of 78858 and 78872 is 2.

GCF(78858,78872) = 2

We will now calculate the prime factors of 78858 and 78872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78858 and 78872.

How to find the GCF of 78858 and 78872?

We will first find the prime factorization of 78858 and 78872. After we will calculate the factors of 78858 and 78872 and find the biggest common factor number .

Step-1: Prime Factorization of 78858

Prime factors of 78858 are 2, 3, 13, 337. Prime factorization of 78858 in exponential form is:

78858 = 2¹ × 3² × 13¹ × 337¹

Step-2: Prime Factorization of 78872

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

78872 = 2³ × 9859¹

Step-3: Factors of 78858

List of positive integer factors of 78858 that divides 78858 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 337, 674, 1011, 2022, 3033, 4381, 6066, 8762, 13143, 26286, 39429

Step-4: Factors of 78872

List of positive integer factors of 78872 that divides 78858 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78858 and 78872. The biggest common factor number is the GCF number.
So the greatest common factor 78858 and 78872 is 2.

Also check out the Least Common Multiple of 78858 and 78872