What is the Greatest Common Factor of 13160 and 13165?

Greatest common factor (GCF) of 13160 and 13165 is 5.

GCF(13160,13165) = 5

We will now calculate the prime factors of 13160 and 13165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13160 and 13165.

How to find the GCF of 13160 and 13165?

We will first find the prime factorization of 13160 and 13165. After we will calculate the factors of 13160 and 13165 and find the biggest common factor number .

Step-1: Prime Factorization of 13160

Prime factors of 13160 are 2, 5, 7, 47. Prime factorization of 13160 in exponential form is:

13160 = 2³ × 5¹ × 7¹ × 47¹

Step-2: Prime Factorization of 13165

Prime factors of 13165 are 5, 2633. Prime factorization of 13165 in exponential form is:

13165 = 5¹ × 2633¹

Step-3: Factors of 13160

List of positive integer factors of 13160 that divides 13160 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 47, 56, 70, 94, 140, 188, 235, 280, 329, 376, 470, 658, 940, 1316, 1645, 1880, 2632, 3290, 6580

Step-4: Factors of 13165

List of positive integer factors of 13165 that divides 13160 without a remainder.

1, 5, 2633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13160 and 13165. The biggest common factor number is the GCF number.
So the greatest common factor 13160 and 13165 is 5.

Also check out the Least Common Multiple of 13160 and 13165