What is the Greatest Common Factor of 94755 and 94764?

Greatest common factor (GCF) of 94755 and 94764 is 3.

GCF(94755,94764) = 3

We will now calculate the prime factors of 94755 and 94764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94755 and 94764.

How to find the GCF of 94755 and 94764?

We will first find the prime factorization of 94755 and 94764. After we will calculate the factors of 94755 and 94764 and find the biggest common factor number .

Step-1: Prime Factorization of 94755

Prime factors of 94755 are 3, 5, 6317. Prime factorization of 94755 in exponential form is:

94755 = 3¹ × 5¹ × 6317¹

Step-2: 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-3: Factors of 94755

List of positive integer factors of 94755 that divides 94755 without a remainder.

1, 3, 5, 15, 6317, 18951, 31585

Step-4: Factors of 94764

List of positive integer factors of 94764 that divides 94755 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94755 and 94764. The biggest common factor number is the GCF number.
So the greatest common factor 94755 and 94764 is 3.

Also check out the Least Common Multiple of 94755 and 94764