What is the Greatest Common Factor of 7075 and 7084?

Greatest common factor (GCF) of 7075 and 7084 is 1.

GCF(7075,7084) = 1

We will now calculate the prime factors of 7075 and 7084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7075 and 7084.

How to find the GCF of 7075 and 7084?

We will first find the prime factorization of 7075 and 7084. After we will calculate the factors of 7075 and 7084 and find the biggest common factor number .

Step-1: Prime Factorization of 7075

Prime factors of 7075 are 5, 283. Prime factorization of 7075 in exponential form is:

7075 = 5² × 283¹

Step-2: 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-3: Factors of 7075

List of positive integer factors of 7075 that divides 7075 without a remainder.

1, 5, 25, 283, 1415

Step-4: Factors of 7084

List of positive integer factors of 7084 that divides 7075 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7075 and 7084. The biggest common factor number is the GCF number.
So the greatest common factor 7075 and 7084 is 1.

Also check out the Least Common Multiple of 7075 and 7084