What is the Greatest Common Factor of 78704 and 78719?

Greatest common factor (GCF) of 78704 and 78719 is 1.

GCF(78704,78719) = 1

We will now calculate the prime factors of 78704 and 78719, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78704 and 78719.

How to find the GCF of 78704 and 78719?

We will first find the prime factorization of 78704 and 78719. After we will calculate the factors of 78704 and 78719 and find the biggest common factor number .

Step-1: Prime Factorization of 78704

Prime factors of 78704 are 2, 4919. Prime factorization of 78704 in exponential form is:

78704 = 2⁴ × 4919¹

Step-2: Prime Factorization of 78719

Prime factors of 78719 are 223, 353. Prime factorization of 78719 in exponential form is:

78719 = 223¹ × 353¹

Step-3: Factors of 78704

List of positive integer factors of 78704 that divides 78704 without a remainder.

1, 2, 4, 8, 16, 4919, 9838, 19676, 39352

Step-4: Factors of 78719

List of positive integer factors of 78719 that divides 78704 without a remainder.

1, 223, 353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78704 and 78719. The biggest common factor number is the GCF number.
So the greatest common factor 78704 and 78719 is 1.

Also check out the Least Common Multiple of 78704 and 78719