What is the Greatest Common Factor of 7075 and 7082?

Greatest common factor (GCF) of 7075 and 7082 is 1.

GCF(7075,7082) = 1

We will now calculate the prime factors of 7075 and 7082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7075 and 7082.

How to find the GCF of 7075 and 7082?

We will first find the prime factorization of 7075 and 7082. After we will calculate the factors of 7075 and 7082 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 7082

Prime factors of 7082 are 2, 3541. Prime factorization of 7082 in exponential form is:

7082 = 2¹ × 3541¹

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 7082

List of positive integer factors of 7082 that divides 7075 without a remainder.

1, 2, 3541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7075 and 7082. The biggest common factor number is the GCF number.
So the greatest common factor 7075 and 7082 is 1.

Also check out the Least Common Multiple of 7075 and 7082