What is the Greatest Common Factor of 34689 and 34707?

Greatest common factor (GCF) of 34689 and 34707 is 3.

GCF(34689,34707) = 3

We will now calculate the prime factors of 34689 and 34707, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34689 and 34707.

How to find the GCF of 34689 and 34707?

We will first find the prime factorization of 34689 and 34707. After we will calculate the factors of 34689 and 34707 and find the biggest common factor number .

Step-1: Prime Factorization of 34689

Prime factors of 34689 are 3, 31, 373. Prime factorization of 34689 in exponential form is:

34689 = 3¹ × 31¹ × 373¹

Step-2: Prime Factorization of 34707

Prime factors of 34707 are 3, 23, 503. Prime factorization of 34707 in exponential form is:

34707 = 3¹ × 23¹ × 503¹

Step-3: Factors of 34689

List of positive integer factors of 34689 that divides 34689 without a remainder.

1, 3, 31, 93, 373, 1119, 11563

Step-4: Factors of 34707

List of positive integer factors of 34707 that divides 34689 without a remainder.

1, 3, 23, 69, 503, 1509, 11569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34689 and 34707. The biggest common factor number is the GCF number.
So the greatest common factor 34689 and 34707 is 3.

Also check out the Least Common Multiple of 34689 and 34707