What is the Greatest Common Factor of 79857 and 79876?

Greatest common factor (GCF) of 79857 and 79876 is 19.

GCF(79857,79876) = 19

We will now calculate the prime factors of 79857 and 79876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79857 and 79876.

How to find the GCF of 79857 and 79876?

We will first find the prime factorization of 79857 and 79876. After we will calculate the factors of 79857 and 79876 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79876

Prime factors of 79876 are 2, 19, 1051. Prime factorization of 79876 in exponential form is:

79876 = 2² × 19¹ × 1051¹

Step-3: Factors of 79857

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

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

Step-4: Factors of 79876

List of positive integer factors of 79876 that divides 79857 without a remainder.

1, 2, 4, 19, 38, 76, 1051, 2102, 4204, 19969, 39938

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79857 and 79876. The biggest common factor number is the GCF number.
So the greatest common factor 79857 and 79876 is 19.

Also check out the Least Common Multiple of 79857 and 79876