What is the Greatest Common Factor of 7084 and 7099?

Greatest common factor (GCF) of 7084 and 7099 is 1.

GCF(7084,7099) = 1

We will now calculate the prime factors of 7084 and 7099, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7084 and 7099.

How to find the GCF of 7084 and 7099?

We will first find the prime factorization of 7084 and 7099. After we will calculate the factors of 7084 and 7099 and find the biggest common factor number .

Step-1: Prime Factorization of 7084

Prime factors of 7084 are 2, 7, 11, 23. Prime factorization of 7084 in exponential form is:

7084 = 2² × 7¹ × 11¹ × 23¹

Step-2: Prime Factorization of 7099

Prime factors of 7099 are 31, 229. Prime factorization of 7099 in exponential form is:

7099 = 31¹ × 229¹

Step-3: Factors of 7084

List of positive integer factors of 7084 that divides 7084 without a remainder.

1, 2, 4, 7, 11, 14, 22, 23, 28, 44, 46, 77, 92, 154, 161, 253, 308, 322, 506, 644, 1012, 1771, 3542

Step-4: Factors of 7099

List of positive integer factors of 7099 that divides 7084 without a remainder.

1, 31, 229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7084 and 7099. The biggest common factor number is the GCF number.
So the greatest common factor 7084 and 7099 is 1.

Also check out the Least Common Multiple of 7084 and 7099