What is the Greatest Common Factor of 83097 and 83115?

Greatest common factor (GCF) of 83097 and 83115 is 9.

GCF(83097,83115) = 9

We will now calculate the prime factors of 83097 and 83115, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83097 and 83115.

How to find the GCF of 83097 and 83115?

We will first find the prime factorization of 83097 and 83115. After we will calculate the factors of 83097 and 83115 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 83115

Prime factors of 83115 are 3, 5, 1847. Prime factorization of 83115 in exponential form is:

83115 = 3² × 5¹ × 1847¹

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 83115

List of positive integer factors of 83115 that divides 83097 without a remainder.

1, 3, 5, 9, 15, 45, 1847, 5541, 9235, 16623, 27705

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83097 and 83115. The biggest common factor number is the GCF number.
So the greatest common factor 83097 and 83115 is 9.

Also check out the Least Common Multiple of 83097 and 83115