What is the Greatest Common Factor of 83943 and 83949?

Greatest common factor (GCF) of 83943 and 83949 is 3.

GCF(83943,83949) = 3

We will now calculate the prime factors of 83943 and 83949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83943 and 83949.

How to find the GCF of 83943 and 83949?

We will first find the prime factorization of 83943 and 83949. After we will calculate the factors of 83943 and 83949 and find the biggest common factor number .

Step-1: Prime Factorization of 83943

Prime factors of 83943 are 3, 3109. Prime factorization of 83943 in exponential form is:

83943 = 3³ × 3109¹

Step-2: Prime Factorization of 83949

Prime factors of 83949 are 3, 27983. Prime factorization of 83949 in exponential form is:

83949 = 3¹ × 27983¹

Step-3: Factors of 83943

List of positive integer factors of 83943 that divides 83943 without a remainder.

1, 3, 9, 27, 3109, 9327, 27981

Step-4: Factors of 83949

List of positive integer factors of 83949 that divides 83943 without a remainder.

1, 3, 27983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83943 and 83949. The biggest common factor number is the GCF number.
So the greatest common factor 83943 and 83949 is 3.

Also check out the Least Common Multiple of 83943 and 83949