What is the Greatest Common Factor of 34661 and 34679?

Greatest common factor (GCF) of 34661 and 34679 is 1.

GCF(34661,34679) = 1

We will now calculate the prime factors of 34661 and 34679, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34661 and 34679.

How to find the GCF of 34661 and 34679?

We will first find the prime factorization of 34661 and 34679. After we will calculate the factors of 34661 and 34679 and find the biggest common factor number .

Step-1: Prime Factorization of 34661

Prime factors of 34661 are 11, 23, 137. Prime factorization of 34661 in exponential form is:

34661 = 11¹ × 23¹ × 137¹

Step-2: Prime Factorization of 34679

Prime factors of 34679 are 34679. Prime factorization of 34679 in exponential form is:

34679 = 34679¹

Step-3: Factors of 34661

List of positive integer factors of 34661 that divides 34661 without a remainder.

1, 11, 23, 137, 253, 1507, 3151

Step-4: Factors of 34679

List of positive integer factors of 34679 that divides 34661 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34661 and 34679. The biggest common factor number is the GCF number.
So the greatest common factor 34661 and 34679 is 1.

Also check out the Least Common Multiple of 34661 and 34679