What is the Greatest Common Factor of 34767 and 34773?

Greatest common factor (GCF) of 34767 and 34773 is 3.

GCF(34767,34773) = 3

We will now calculate the prime factors of 34767 and 34773, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34767 and 34773.

How to find the GCF of 34767 and 34773?

We will first find the prime factorization of 34767 and 34773. After we will calculate the factors of 34767 and 34773 and find the biggest common factor number .

Step-1: Prime Factorization of 34767

Prime factors of 34767 are 3, 3863. Prime factorization of 34767 in exponential form is:

34767 = 3² × 3863¹

Step-2: Prime Factorization of 34773

Prime factors of 34773 are 3, 67, 173. Prime factorization of 34773 in exponential form is:

34773 = 3¹ × 67¹ × 173¹

Step-3: Factors of 34767

List of positive integer factors of 34767 that divides 34767 without a remainder.

1, 3, 9, 3863, 11589

Step-4: Factors of 34773

List of positive integer factors of 34773 that divides 34767 without a remainder.

1, 3, 67, 173, 201, 519, 11591

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34767 and 34773. The biggest common factor number is the GCF number.
So the greatest common factor 34767 and 34773 is 3.

Also check out the Least Common Multiple of 34767 and 34773