What is the Greatest Common Factor of 32738 and 32747?

Greatest common factor (GCF) of 32738 and 32747 is 1.

GCF(32738,32747) = 1

We will now calculate the prime factors of 32738 and 32747, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32738 and 32747.

How to find the GCF of 32738 and 32747?

We will first find the prime factorization of 32738 and 32747. After we will calculate the factors of 32738 and 32747 and find the biggest common factor number .

Step-1: Prime Factorization of 32738

Prime factors of 32738 are 2, 16369. Prime factorization of 32738 in exponential form is:

32738 = 2¹ × 16369¹

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 32738

List of positive integer factors of 32738 that divides 32738 without a remainder.

1, 2, 16369

Step-4: Factors of 32747

List of positive integer factors of 32747 that divides 32738 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32738 and 32747. The biggest common factor number is the GCF number.
So the greatest common factor 32738 and 32747 is 1.

Also check out the Least Common Multiple of 32738 and 32747