What is the Greatest Common Factor of 4767 and 4773?

Greatest common factor (GCF) of 4767 and 4773 is 3.

GCF(4767,4773) = 3

We will now calculate the prime factors of 4767 and 4773, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4767 and 4773.

How to find the GCF of 4767 and 4773?

We will first find the prime factorization of 4767 and 4773. After we will calculate the factors of 4767 and 4773 and find the biggest common factor number .

Step-1: Prime Factorization of 4767

Prime factors of 4767 are 3, 7, 227. Prime factorization of 4767 in exponential form is:

4767 = 3¹ × 7¹ × 227¹

Step-2: Prime Factorization of 4773

Prime factors of 4773 are 3, 37, 43. Prime factorization of 4773 in exponential form is:

4773 = 3¹ × 37¹ × 43¹

Step-3: Factors of 4767

List of positive integer factors of 4767 that divides 4767 without a remainder.

1, 3, 7, 21, 227, 681, 1589

Step-4: Factors of 4773

List of positive integer factors of 4773 that divides 4767 without a remainder.

1, 3, 37, 43, 111, 129, 1591

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4767 and 4773. The biggest common factor number is the GCF number.
So the greatest common factor 4767 and 4773 is 3.

Also check out the Least Common Multiple of 4767 and 4773