What is the Greatest Common Factor of 83097 and 83103?

Greatest common factor (GCF) of 83097 and 83103 is 3.

GCF(83097,83103) = 3

We will now calculate the prime factors of 83097 and 83103, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83097 and 83103.

How to find the GCF of 83097 and 83103?

We will first find the prime factorization of 83097 and 83103. After we will calculate the factors of 83097 and 83103 and find the biggest common factor number .

Step-1: Prime Factorization of 83097

Prime factors of 83097 are 3, 7, 1319. Prime factorization of 83097 in exponential form is:

83097 = 3² × 7¹ × 1319¹

Step-2: Prime Factorization of 83103

Prime factors of 83103 are 3, 27701. Prime factorization of 83103 in exponential form is:

83103 = 3¹ × 27701¹

Step-3: Factors of 83097

List of positive integer factors of 83097 that divides 83097 without a remainder.

1, 3, 7, 9, 21, 63, 1319, 3957, 9233, 11871, 27699

Step-4: Factors of 83103

List of positive integer factors of 83103 that divides 83097 without a remainder.

1, 3, 27701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83097 and 83103. The biggest common factor number is the GCF number.
So the greatest common factor 83097 and 83103 is 3.

Also check out the Least Common Multiple of 83097 and 83103