What is the Greatest Common Factor of 83912 and 83929?

Greatest common factor (GCF) of 83912 and 83929 is 17.

GCF(83912,83929) = 17

We will now calculate the prime factors of 83912 and 83929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83912 and 83929.

How to find the GCF of 83912 and 83929?

We will first find the prime factorization of 83912 and 83929. After we will calculate the factors of 83912 and 83929 and find the biggest common factor number .

Step-1: Prime Factorization of 83912

Prime factors of 83912 are 2, 17, 617. Prime factorization of 83912 in exponential form is:

83912 = 2³ × 17¹ × 617¹

Step-2: Prime Factorization of 83929

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

83929 = 17¹ × 4937¹

Step-3: Factors of 83912

List of positive integer factors of 83912 that divides 83912 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 617, 1234, 2468, 4936, 10489, 20978, 41956

Step-4: Factors of 83929

List of positive integer factors of 83929 that divides 83912 without a remainder.

1, 17, 4937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83912 and 83929. The biggest common factor number is the GCF number.
So the greatest common factor 83912 and 83929 is 17.

Also check out the Least Common Multiple of 83912 and 83929