What is the Greatest Common Factor of 78876 and 78889?

Greatest common factor (GCF) of 78876 and 78889 is 1.

GCF(78876,78889) = 1

We will now calculate the prime factors of 78876 and 78889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78876 and 78889.

How to find the GCF of 78876 and 78889?

We will first find the prime factorization of 78876 and 78889. After we will calculate the factors of 78876 and 78889 and find the biggest common factor number .

Step-1: Prime Factorization of 78876

Prime factors of 78876 are 2, 3, 7, 313. Prime factorization of 78876 in exponential form is:

78876 = 2² × 3² × 7¹ × 313¹

Step-2: Prime Factorization of 78889

Prime factors of 78889 are 78889. Prime factorization of 78889 in exponential form is:

78889 = 78889¹

Step-3: Factors of 78876

List of positive integer factors of 78876 that divides 78876 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252, 313, 626, 939, 1252, 1878, 2191, 2817, 3756, 4382, 5634, 6573, 8764, 11268, 13146, 19719, 26292, 39438

Step-4: Factors of 78889

List of positive integer factors of 78889 that divides 78876 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78876 and 78889. The biggest common factor number is the GCF number.
So the greatest common factor 78876 and 78889 is 1.

Also check out the Least Common Multiple of 78876 and 78889