What is the Greatest Common Factor of 34677 and 34683?

Greatest common factor (GCF) of 34677 and 34683 is 3.

GCF(34677,34683) = 3

We will now calculate the prime factors of 34677 and 34683, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34677 and 34683.

How to find the GCF of 34677 and 34683?

We will first find the prime factorization of 34677 and 34683. After we will calculate the factors of 34677 and 34683 and find the biggest common factor number .

Step-1: Prime Factorization of 34677

Prime factors of 34677 are 3, 3853. Prime factorization of 34677 in exponential form is:

34677 = 3² × 3853¹

Step-2: Prime Factorization of 34683

Prime factors of 34683 are 3, 11, 1051. Prime factorization of 34683 in exponential form is:

34683 = 3¹ × 11¹ × 1051¹

Step-3: Factors of 34677

List of positive integer factors of 34677 that divides 34677 without a remainder.

1, 3, 9, 3853, 11559

Step-4: Factors of 34683

List of positive integer factors of 34683 that divides 34677 without a remainder.

1, 3, 11, 33, 1051, 3153, 11561

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34677 and 34683. The biggest common factor number is the GCF number.
So the greatest common factor 34677 and 34683 is 3.

Also check out the Least Common Multiple of 34677 and 34683