What is the Greatest Common Factor of 78910 and 78923?

Greatest common factor (GCF) of 78910 and 78923 is 13.

GCF(78910,78923) = 13

We will now calculate the prime factors of 78910 and 78923, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78910 and 78923.

How to find the GCF of 78910 and 78923?

We will first find the prime factorization of 78910 and 78923. After we will calculate the factors of 78910 and 78923 and find the biggest common factor number .

Step-1: Prime Factorization of 78910

Prime factors of 78910 are 2, 5, 13, 607. Prime factorization of 78910 in exponential form is:

78910 = 2¹ × 5¹ × 13¹ × 607¹

Step-2: Prime Factorization of 78923

Prime factors of 78923 are 13, 467. Prime factorization of 78923 in exponential form is:

78923 = 13² × 467¹

Step-3: Factors of 78910

List of positive integer factors of 78910 that divides 78910 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 607, 1214, 3035, 6070, 7891, 15782, 39455

Step-4: Factors of 78923

List of positive integer factors of 78923 that divides 78910 without a remainder.

1, 13, 169, 467, 6071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78910 and 78923. The biggest common factor number is the GCF number.
So the greatest common factor 78910 and 78923 is 13.

Also check out the Least Common Multiple of 78910 and 78923