What is the Greatest Common Factor of 78786 and 78793?

Greatest common factor (GCF) of 78786 and 78793 is 1.

GCF(78786,78793) = 1

We will now calculate the prime factors of 78786 and 78793, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78786 and 78793.

How to find the GCF of 78786 and 78793?

We will first find the prime factorization of 78786 and 78793. After we will calculate the factors of 78786 and 78793 and find the biggest common factor number .

Step-1: Prime Factorization of 78786

Prime factors of 78786 are 2, 3, 1459. Prime factorization of 78786 in exponential form is:

78786 = 2¹ × 3³ × 1459¹

Step-2: Prime Factorization of 78793

Prime factors of 78793 are 11, 13, 19, 29. Prime factorization of 78793 in exponential form is:

78793 = 11¹ × 13¹ × 19¹ × 29¹

Step-3: Factors of 78786

List of positive integer factors of 78786 that divides 78786 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1459, 2918, 4377, 8754, 13131, 26262, 39393

Step-4: Factors of 78793

List of positive integer factors of 78793 that divides 78786 without a remainder.

1, 11, 13, 19, 29, 143, 209, 247, 319, 377, 551, 2717, 4147, 6061, 7163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78786 and 78793. The biggest common factor number is the GCF number.
So the greatest common factor 78786 and 78793 is 1.

Also check out the Least Common Multiple of 78786 and 78793