What is the Greatest Common Factor of 7160 and 7165?

Greatest common factor (GCF) of 7160 and 7165 is 5.

GCF(7160,7165) = 5

We will now calculate the prime factors of 7160 and 7165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7160 and 7165.

How to find the GCF of 7160 and 7165?

We will first find the prime factorization of 7160 and 7165. After we will calculate the factors of 7160 and 7165 and find the biggest common factor number .

Step-1: Prime Factorization of 7160

Prime factors of 7160 are 2, 5, 179. Prime factorization of 7160 in exponential form is:

7160 = 2³ × 5¹ × 179¹

Step-2: Prime Factorization of 7165

Prime factors of 7165 are 5, 1433. Prime factorization of 7165 in exponential form is:

7165 = 5¹ × 1433¹

Step-3: Factors of 7160

List of positive integer factors of 7160 that divides 7160 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 179, 358, 716, 895, 1432, 1790, 3580

Step-4: Factors of 7165

List of positive integer factors of 7165 that divides 7160 without a remainder.

1, 5, 1433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7160 and 7165. The biggest common factor number is the GCF number.
So the greatest common factor 7160 and 7165 is 5.

Also check out the Least Common Multiple of 7160 and 7165