What is the Greatest Common Factor of 83929 and 83946?

Greatest common factor (GCF) of 83929 and 83946 is 17.

GCF(83929,83946) = 17

We will now calculate the prime factors of 83929 and 83946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83929 and 83946.

How to find the GCF of 83929 and 83946?

We will first find the prime factorization of 83929 and 83946. After we will calculate the factors of 83929 and 83946 and find the biggest common factor number .

Step-1: Prime Factorization of 83929

Prime factors of 83929 are 17, 4937. Prime factorization of 83929 in exponential form is:

83929 = 17¹ × 4937¹

Step-2: Prime Factorization of 83946

Prime factors of 83946 are 2, 3, 17, 823. Prime factorization of 83946 in exponential form is:

83946 = 2¹ × 3¹ × 17¹ × 823¹

Step-3: Factors of 83929

List of positive integer factors of 83929 that divides 83929 without a remainder.

1, 17, 4937

Step-4: Factors of 83946

List of positive integer factors of 83946 that divides 83929 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 823, 1646, 2469, 4938, 13991, 27982, 41973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83929 and 83946. The biggest common factor number is the GCF number.
So the greatest common factor 83929 and 83946 is 17.

Also check out the Least Common Multiple of 83929 and 83946