What is the Greatest Common Factor of 7095 and 7105?

Greatest common factor (GCF) of 7095 and 7105 is 5.

GCF(7095,7105) = 5

We will now calculate the prime factors of 7095 and 7105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7095 and 7105.

How to find the GCF of 7095 and 7105?

We will first find the prime factorization of 7095 and 7105. After we will calculate the factors of 7095 and 7105 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 7105

Prime factors of 7105 are 5, 7, 29. Prime factorization of 7105 in exponential form is:

7105 = 5¹ × 7² × 29¹

Step-3: Factors of 7095

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

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

Step-4: Factors of 7105

List of positive integer factors of 7105 that divides 7095 without a remainder.

1, 5, 7, 29, 35, 49, 145, 203, 245, 1015, 1421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7095 and 7105. The biggest common factor number is the GCF number.
So the greatest common factor 7095 and 7105 is 5.

Also check out the Least Common Multiple of 7095 and 7105