What is the Greatest Common Factor of 34767 and 34779?

Greatest common factor (GCF) of 34767 and 34779 is 3.

GCF(34767,34779) = 3

We will now calculate the prime factors of 34767 and 34779, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34767 and 34779.

How to find the GCF of 34767 and 34779?

We will first find the prime factorization of 34767 and 34779. After we will calculate the factors of 34767 and 34779 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 34779

Prime factors of 34779 are 3, 11593. Prime factorization of 34779 in exponential form is:

34779 = 3¹ × 11593¹

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 34779

List of positive integer factors of 34779 that divides 34767 without a remainder.

1, 3, 11593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34767 and 34779. The biggest common factor number is the GCF number.
So the greatest common factor 34767 and 34779 is 3.

Also check out the Least Common Multiple of 34767 and 34779