What is the Greatest Common Factor of 32741 and 32747?

Greatest common factor (GCF) of 32741 and 32747 is 1.

GCF(32741,32747) = 1

We will now calculate the prime factors of 32741 and 32747, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32741 and 32747.

How to find the GCF of 32741 and 32747?

We will first find the prime factorization of 32741 and 32747. After we will calculate the factors of 32741 and 32747 and find the biggest common factor number .

Step-1: Prime Factorization of 32741

Prime factors of 32741 are 29, 1129. Prime factorization of 32741 in exponential form is:

32741 = 29¹ × 1129¹

Step-2: Prime Factorization of 32747

Prime factors of 32747 are 11, 13, 229. Prime factorization of 32747 in exponential form is:

32747 = 11¹ × 13¹ × 229¹

Step-3: Factors of 32741

List of positive integer factors of 32741 that divides 32741 without a remainder.

1, 29, 1129

Step-4: Factors of 32747

List of positive integer factors of 32747 that divides 32741 without a remainder.

1, 11, 13, 143, 229, 2519, 2977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32741 and 32747. The biggest common factor number is the GCF number.
So the greatest common factor 32741 and 32747 is 1.

Also check out the Least Common Multiple of 32741 and 32747