What is the Greatest Common Factor of 34661 and 34673?

Greatest common factor (GCF) of 34661 and 34673 is 1.

GCF(34661,34673) = 1

We will now calculate the prime factors of 34661 and 34673, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34661 and 34673.

How to find the GCF of 34661 and 34673?

We will first find the prime factorization of 34661 and 34673. After we will calculate the factors of 34661 and 34673 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 34673

Prime factors of 34673 are 34673. Prime factorization of 34673 in exponential form is:

34673 = 34673¹

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 34673

List of positive integer factors of 34673 that divides 34661 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34661 and 34673. The biggest common factor number is the GCF number.
So the greatest common factor 34661 and 34673 is 1.

Also check out the Least Common Multiple of 34661 and 34673