What is the Greatest Common Factor of 78771 and 78777?

Greatest common factor (GCF) of 78771 and 78777 is 3.

GCF(78771,78777) = 3

We will now calculate the prime factors of 78771 and 78777, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78771 and 78777.

How to find the GCF of 78771 and 78777?

We will first find the prime factorization of 78771 and 78777. After we will calculate the factors of 78771 and 78777 and find the biggest common factor number .

Step-1: Prime Factorization of 78771

Prime factors of 78771 are 3, 7, 11, 31. Prime factorization of 78771 in exponential form is:

78771 = 3¹ × 7¹ × 11² × 31¹

Step-2: Prime Factorization of 78777

Prime factors of 78777 are 3, 8753. Prime factorization of 78777 in exponential form is:

78777 = 3² × 8753¹

Step-3: Factors of 78771

List of positive integer factors of 78771 that divides 78771 without a remainder.

1, 3, 7, 11, 21, 31, 33, 77, 93, 121, 217, 231, 341, 363, 651, 847, 1023, 2387, 2541, 3751, 7161, 11253, 26257

Step-4: Factors of 78777

List of positive integer factors of 78777 that divides 78771 without a remainder.

1, 3, 9, 8753, 26259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78771 and 78777. The biggest common factor number is the GCF number.
So the greatest common factor 78771 and 78777 is 3.

Also check out the Least Common Multiple of 78771 and 78777