What is the Greatest Common Factor of 79876 and 79895?

Greatest common factor (GCF) of 79876 and 79895 is 19.

GCF(79876,79895) = 19

We will now calculate the prime factors of 79876 and 79895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79876 and 79895.

How to find the GCF of 79876 and 79895?

We will first find the prime factorization of 79876 and 79895. After we will calculate the factors of 79876 and 79895 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79895

Prime factors of 79895 are 5, 19, 29. Prime factorization of 79895 in exponential form is:

79895 = 5¹ × 19¹ × 29²

Step-3: Factors of 79876

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

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

Step-4: Factors of 79895

List of positive integer factors of 79895 that divides 79876 without a remainder.

1, 5, 19, 29, 95, 145, 551, 841, 2755, 4205, 15979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79876 and 79895. The biggest common factor number is the GCF number.
So the greatest common factor 79876 and 79895 is 19.

Also check out the Least Common Multiple of 79876 and 79895