What is the Greatest Common Factor of 78710 and 78717?

Greatest common factor (GCF) of 78710 and 78717 is 1.

GCF(78710,78717) = 1

We will now calculate the prime factors of 78710 and 78717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78710 and 78717.

How to find the GCF of 78710 and 78717?

We will first find the prime factorization of 78710 and 78717. After we will calculate the factors of 78710 and 78717 and find the biggest common factor number .

Step-1: Prime Factorization of 78710

Prime factors of 78710 are 2, 5, 17, 463. Prime factorization of 78710 in exponential form is:

78710 = 2¹ × 5¹ × 17¹ × 463¹

Step-2: Prime Factorization of 78717

Prime factors of 78717 are 3, 19, 1381. Prime factorization of 78717 in exponential form is:

78717 = 3¹ × 19¹ × 1381¹

Step-3: Factors of 78710

List of positive integer factors of 78710 that divides 78710 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 463, 926, 2315, 4630, 7871, 15742, 39355

Step-4: Factors of 78717

List of positive integer factors of 78717 that divides 78710 without a remainder.

1, 3, 19, 57, 1381, 4143, 26239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78710 and 78717. The biggest common factor number is the GCF number.
So the greatest common factor 78710 and 78717 is 1.

Also check out the Least Common Multiple of 78710 and 78717