What is the Greatest Common Factor of 7075 and 7095?

Greatest common factor (GCF) of 7075 and 7095 is 5.

GCF(7075,7095) = 5

We will now calculate the prime factors of 7075 and 7095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7075 and 7095.

How to find the GCF of 7075 and 7095?

We will first find the prime factorization of 7075 and 7095. After we will calculate the factors of 7075 and 7095 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 7095

Prime factors of 7095 are 3, 5, 11, 43. Prime factorization of 7095 in exponential form is:

7095 = 3¹ × 5¹ × 11¹ × 43¹

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 7095

List of positive integer factors of 7095 that divides 7075 without a remainder.

1, 3, 5, 11, 15, 33, 43, 55, 129, 165, 215, 473, 645, 1419, 2365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7075 and 7095. The biggest common factor number is the GCF number.
So the greatest common factor 7075 and 7095 is 5.

Also check out the Least Common Multiple of 7075 and 7095