What is the Greatest Common Factor of 78806 and 78819?

Greatest common factor (GCF) of 78806 and 78819 is 13.

GCF(78806,78819) = 13

We will now calculate the prime factors of 78806 and 78819, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78806 and 78819.

How to find the GCF of 78806 and 78819?

We will first find the prime factorization of 78806 and 78819. After we will calculate the factors of 78806 and 78819 and find the biggest common factor number .

Step-1: Prime Factorization of 78806

Prime factors of 78806 are 2, 7, 13, 433. Prime factorization of 78806 in exponential form is:

78806 = 2¹ × 7¹ × 13¹ × 433¹

Step-2: Prime Factorization of 78819

Prime factors of 78819 are 3, 13, 43, 47. Prime factorization of 78819 in exponential form is:

78819 = 3¹ × 13¹ × 43¹ × 47¹

Step-3: Factors of 78806

List of positive integer factors of 78806 that divides 78806 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 433, 866, 3031, 5629, 6062, 11258, 39403

Step-4: Factors of 78819

List of positive integer factors of 78819 that divides 78806 without a remainder.

1, 3, 13, 39, 43, 47, 129, 141, 559, 611, 1677, 1833, 2021, 6063, 26273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78806 and 78819. The biggest common factor number is the GCF number.
So the greatest common factor 78806 and 78819 is 13.

Also check out the Least Common Multiple of 78806 and 78819