What is the Greatest Common Factor of 34641 and 34661?

Greatest common factor (GCF) of 34641 and 34661 is 1.

GCF(34641,34661) = 1

We will now calculate the prime factors of 34641 and 34661, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34641 and 34661.

How to find the GCF of 34641 and 34661?

We will first find the prime factorization of 34641 and 34661. After we will calculate the factors of 34641 and 34661 and find the biggest common factor number .

Step-1: Prime Factorization of 34641

Prime factors of 34641 are 3, 1283. Prime factorization of 34641 in exponential form is:

34641 = 3³ × 1283¹

Step-2: 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-3: Factors of 34641

List of positive integer factors of 34641 that divides 34641 without a remainder.

1, 3, 9, 27, 1283, 3849, 11547

Step-4: Factors of 34661

List of positive integer factors of 34661 that divides 34641 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34641 and 34661. The biggest common factor number is the GCF number.
So the greatest common factor 34641 and 34661 is 1.

Also check out the Least Common Multiple of 34641 and 34661