What is the Greatest Common Factor of 94764 and 94779?

Greatest common factor (GCF) of 94764 and 94779 is 3.

GCF(94764,94779) = 3

We will now calculate the prime factors of 94764 and 94779, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94764 and 94779.

How to find the GCF of 94764 and 94779?

We will first find the prime factorization of 94764 and 94779. After we will calculate the factors of 94764 and 94779 and find the biggest common factor number .

Step-1: Prime Factorization of 94764

Prime factors of 94764 are 2, 3, 53, 149. Prime factorization of 94764 in exponential form is:

94764 = 2² × 3¹ × 53¹ × 149¹

Step-2: Prime Factorization of 94779

Prime factors of 94779 are 3, 10531. Prime factorization of 94779 in exponential form is:

94779 = 3² × 10531¹

Step-3: Factors of 94764

List of positive integer factors of 94764 that divides 94764 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 149, 159, 212, 298, 318, 447, 596, 636, 894, 1788, 7897, 15794, 23691, 31588, 47382

Step-4: Factors of 94779

List of positive integer factors of 94779 that divides 94764 without a remainder.

1, 3, 9, 10531, 31593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94764 and 94779. The biggest common factor number is the GCF number.
So the greatest common factor 94764 and 94779 is 3.

Also check out the Least Common Multiple of 94764 and 94779