What is the Greatest Common Factor of 84771 and 84777?

Greatest common factor (GCF) of 84771 and 84777 is 3.

GCF(84771,84777) = 3

We will now calculate the prime factors of 84771 and 84777, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84771 and 84777.

How to find the GCF of 84771 and 84777?

We will first find the prime factorization of 84771 and 84777. After we will calculate the factors of 84771 and 84777 and find the biggest common factor number .

Step-1: Prime Factorization of 84771

Prime factors of 84771 are 3, 9419. Prime factorization of 84771 in exponential form is:

84771 = 3² × 9419¹

Step-2: Prime Factorization of 84777

Prime factors of 84777 are 3, 7, 11, 367. Prime factorization of 84777 in exponential form is:

84777 = 3¹ × 7¹ × 11¹ × 367¹

Step-3: Factors of 84771

List of positive integer factors of 84771 that divides 84771 without a remainder.

1, 3, 9, 9419, 28257

Step-4: Factors of 84777

List of positive integer factors of 84777 that divides 84771 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231, 367, 1101, 2569, 4037, 7707, 12111, 28259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84771 and 84777. The biggest common factor number is the GCF number.
So the greatest common factor 84771 and 84777 is 3.

Also check out the Least Common Multiple of 84771 and 84777