What is the Greatest Common Factor of 32934 and 32943?

Greatest common factor (GCF) of 32934 and 32943 is 3.

GCF(32934,32943) = 3

We will now calculate the prime factors of 32934 and 32943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32934 and 32943.

How to find the GCF of 32934 and 32943?

We will first find the prime factorization of 32934 and 32943. After we will calculate the factors of 32934 and 32943 and find the biggest common factor number .

Step-1: Prime Factorization of 32934

Prime factors of 32934 are 2, 3, 11, 499. Prime factorization of 32934 in exponential form is:

32934 = 2¹ × 3¹ × 11¹ × 499¹

Step-2: Prime Factorization of 32943

Prime factors of 32943 are 3, 79, 139. Prime factorization of 32943 in exponential form is:

32943 = 3¹ × 79¹ × 139¹

Step-3: Factors of 32934

List of positive integer factors of 32934 that divides 32934 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 499, 998, 1497, 2994, 5489, 10978, 16467

Step-4: Factors of 32943

List of positive integer factors of 32943 that divides 32934 without a remainder.

1, 3, 79, 139, 237, 417, 10981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32934 and 32943. The biggest common factor number is the GCF number.
So the greatest common factor 32934 and 32943 is 3.

Also check out the Least Common Multiple of 32934 and 32943