What is the Greatest Common Factor of 79819 and 79838?

Greatest common factor (GCF) of 79819 and 79838 is 19.

GCF(79819,79838) = 19

We will now calculate the prime factors of 79819 and 79838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79819 and 79838.

How to find the GCF of 79819 and 79838?

We will first find the prime factorization of 79819 and 79838. After we will calculate the factors of 79819 and 79838 and find the biggest common factor number .

Step-1: Prime Factorization of 79819

Prime factors of 79819 are 19, 4201. Prime factorization of 79819 in exponential form is:

79819 = 19¹ × 4201¹

Step-2: Prime Factorization of 79838

Prime factors of 79838 are 2, 11, 19, 191. Prime factorization of 79838 in exponential form is:

79838 = 2¹ × 11¹ × 19¹ × 191¹

Step-3: Factors of 79819

List of positive integer factors of 79819 that divides 79819 without a remainder.

1, 19, 4201

Step-4: Factors of 79838

List of positive integer factors of 79838 that divides 79819 without a remainder.

1, 2, 11, 19, 22, 38, 191, 209, 382, 418, 2101, 3629, 4202, 7258, 39919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79819 and 79838. The biggest common factor number is the GCF number.
So the greatest common factor 79819 and 79838 is 19.

Also check out the Least Common Multiple of 79819 and 79838