What is the Greatest Common Factor of 79838 and 79857?

Greatest common factor (GCF) of 79838 and 79857 is 19.

GCF(79838,79857) = 19

We will now calculate the prime factors of 79838 and 79857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79838 and 79857.

How to find the GCF of 79838 and 79857?

We will first find the prime factorization of 79838 and 79857. After we will calculate the factors of 79838 and 79857 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79857

Prime factors of 79857 are 3, 19, 467. Prime factorization of 79857 in exponential form is:

79857 = 3² × 19¹ × 467¹

Step-3: Factors of 79838

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

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

Step-4: Factors of 79857

List of positive integer factors of 79857 that divides 79838 without a remainder.

1, 3, 9, 19, 57, 171, 467, 1401, 4203, 8873, 26619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79838 and 79857. The biggest common factor number is the GCF number.
So the greatest common factor 79838 and 79857 is 19.

Also check out the Least Common Multiple of 79838 and 79857