What is the Greatest Common Factor of 34689 and 34706?

Greatest common factor (GCF) of 34689 and 34706 is 1.

GCF(34689,34706) = 1

We will now calculate the prime factors of 34689 and 34706, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34689 and 34706.

How to find the GCF of 34689 and 34706?

We will first find the prime factorization of 34689 and 34706. After we will calculate the factors of 34689 and 34706 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 34706

Prime factors of 34706 are 2, 7, 37, 67. Prime factorization of 34706 in exponential form is:

34706 = 2¹ × 7¹ × 37¹ × 67¹

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 34706

List of positive integer factors of 34706 that divides 34689 without a remainder.

1, 2, 7, 14, 37, 67, 74, 134, 259, 469, 518, 938, 2479, 4958, 17353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34689 and 34706. The biggest common factor number is the GCF number.
So the greatest common factor 34689 and 34706 is 1.

Also check out the Least Common Multiple of 34689 and 34706