What is the Greatest Common Factor of 78702 and 78717?

Greatest common factor (GCF) of 78702 and 78717 is 3.

GCF(78702,78717) = 3

We will now calculate the prime factors of 78702 and 78717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78702 and 78717.

How to find the GCF of 78702 and 78717?

We will first find the prime factorization of 78702 and 78717. After we will calculate the factors of 78702 and 78717 and find the biggest common factor number .

Step-1: Prime Factorization of 78702

Prime factors of 78702 are 2, 3, 13, 1009. Prime factorization of 78702 in exponential form is:

78702 = 2¹ × 3¹ × 13¹ × 1009¹

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 78702

List of positive integer factors of 78702 that divides 78702 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 1009, 2018, 3027, 6054, 13117, 26234, 39351

Step-4: Factors of 78717

List of positive integer factors of 78717 that divides 78702 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78702 and 78717. The biggest common factor number is the GCF number.
So the greatest common factor 78702 and 78717 is 3.

Also check out the Least Common Multiple of 78702 and 78717