What is the Greatest Common Factor of 83930 and 83943?

Greatest common factor (GCF) of 83930 and 83943 is 1.

GCF(83930,83943) = 1

We will now calculate the prime factors of 83930 and 83943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83930 and 83943.

How to find the GCF of 83930 and 83943?

We will first find the prime factorization of 83930 and 83943. After we will calculate the factors of 83930 and 83943 and find the biggest common factor number .

Step-1: Prime Factorization of 83930

Prime factors of 83930 are 2, 5, 7, 11, 109. Prime factorization of 83930 in exponential form is:

83930 = 2¹ × 5¹ × 7¹ × 11¹ × 109¹

Step-2: Prime Factorization of 83943

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

83943 = 3³ × 3109¹

Step-3: Factors of 83930

List of positive integer factors of 83930 that divides 83930 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 109, 110, 154, 218, 385, 545, 763, 770, 1090, 1199, 1526, 2398, 3815, 5995, 7630, 8393, 11990, 16786, 41965

Step-4: Factors of 83943

List of positive integer factors of 83943 that divides 83930 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83930 and 83943. The biggest common factor number is the GCF number.
So the greatest common factor 83930 and 83943 is 1.

Also check out the Least Common Multiple of 83930 and 83943