What is the Greatest Common Factor of 7146 and 7160?

Greatest common factor (GCF) of 7146 and 7160 is 2.

GCF(7146,7160) = 2

We will now calculate the prime factors of 7146 and 7160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7146 and 7160.

How to find the GCF of 7146 and 7160?

We will first find the prime factorization of 7146 and 7160. After we will calculate the factors of 7146 and 7160 and find the biggest common factor number .

Step-1: Prime Factorization of 7146

Prime factors of 7146 are 2, 3, 397. Prime factorization of 7146 in exponential form is:

7146 = 2¹ × 3² × 397¹

Step-2: 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-3: Factors of 7146

List of positive integer factors of 7146 that divides 7146 without a remainder.

1, 2, 3, 6, 9, 18, 397, 794, 1191, 2382, 3573

Step-4: Factors of 7160

List of positive integer factors of 7160 that divides 7146 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7146 and 7160. The biggest common factor number is the GCF number.
So the greatest common factor 7146 and 7160 is 2.

Also check out the Least Common Multiple of 7146 and 7160