What is the Greatest Common Factor of 7160 and 7164?

Greatest common factor (GCF) of 7160 and 7164 is 4.

GCF(7160,7164) = 4

We will now calculate the prime factors of 7160 and 7164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7160 and 7164.

How to find the GCF of 7160 and 7164?

We will first find the prime factorization of 7160 and 7164. After we will calculate the factors of 7160 and 7164 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 7164

Prime factors of 7164 are 2, 3, 199. Prime factorization of 7164 in exponential form is:

7164 = 2² × 3² × 199¹

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 7164

List of positive integer factors of 7164 that divides 7160 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 199, 398, 597, 796, 1194, 1791, 2388, 3582

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7160 and 7164. The biggest common factor number is the GCF number.
So the greatest common factor 7160 and 7164 is 4.

Also check out the Least Common Multiple of 7160 and 7164