What is the Greatest Common Factor of 78698 and 78717?

Greatest common factor (GCF) of 78698 and 78717 is 19.

GCF(78698,78717) = 19

We will now calculate the prime factors of 78698 and 78717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78698 and 78717.

How to find the GCF of 78698 and 78717?

We will first find the prime factorization of 78698 and 78717. After we will calculate the factors of 78698 and 78717 and find the biggest common factor number .

Step-1: Prime Factorization of 78698

Prime factors of 78698 are 2, 19, 109. Prime factorization of 78698 in exponential form is:

78698 = 2¹ × 19² × 109¹

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 78698

List of positive integer factors of 78698 that divides 78698 without a remainder.

1, 2, 19, 38, 109, 218, 361, 722, 2071, 4142, 39349

Step-4: Factors of 78717

List of positive integer factors of 78717 that divides 78698 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78698 and 78717. The biggest common factor number is the GCF number.
So the greatest common factor 78698 and 78717 is 19.

Also check out the Least Common Multiple of 78698 and 78717