What is the Greatest Common Factor of 34691 and 34706?

Greatest common factor (GCF) of 34691 and 34706 is 1.

GCF(34691,34706) = 1

We will now calculate the prime factors of 34691 and 34706, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34691 and 34706.

How to find the GCF of 34691 and 34706?

We will first find the prime factorization of 34691 and 34706. After we will calculate the factors of 34691 and 34706 and find the biggest common factor number .

Step-1: Prime Factorization of 34691

Prime factors of 34691 are 113, 307. Prime factorization of 34691 in exponential form is:

34691 = 113¹ × 307¹

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 34691

List of positive integer factors of 34691 that divides 34691 without a remainder.

1, 113, 307

Step-4: Factors of 34706

List of positive integer factors of 34706 that divides 34691 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 34691 and 34706. The biggest common factor number is the GCF number.
So the greatest common factor 34691 and 34706 is 1.

Also check out the Least Common Multiple of 34691 and 34706