What is the Greatest Common Factor of 83931 and 83939?

Greatest common factor (GCF) of 83931 and 83939 is 1.

GCF(83931,83939) = 1

We will now calculate the prime factors of 83931 and 83939, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83931 and 83939.

How to find the GCF of 83931 and 83939?

We will first find the prime factorization of 83931 and 83939. After we will calculate the factors of 83931 and 83939 and find the biggest common factor number .

Step-1: Prime Factorization of 83931

Prime factors of 83931 are 3, 101, 277. Prime factorization of 83931 in exponential form is:

83931 = 3¹ × 101¹ × 277¹

Step-2: Prime Factorization of 83939

Prime factors of 83939 are 83939. Prime factorization of 83939 in exponential form is:

83939 = 83939¹

Step-3: Factors of 83931

List of positive integer factors of 83931 that divides 83931 without a remainder.

1, 3, 101, 277, 303, 831, 27977

Step-4: Factors of 83939

List of positive integer factors of 83939 that divides 83931 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83931 and 83939. The biggest common factor number is the GCF number.
So the greatest common factor 83931 and 83939 is 1.

Also check out the Least Common Multiple of 83931 and 83939