What is the Greatest Common Factor of 7146 and 7161?

Greatest common factor (GCF) of 7146 and 7161 is 3.

GCF(7146,7161) = 3

We will now calculate the prime factors of 7146 and 7161, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7146 and 7161.

How to find the GCF of 7146 and 7161?

We will first find the prime factorization of 7146 and 7161. After we will calculate the factors of 7146 and 7161 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 7161

Prime factors of 7161 are 3, 7, 11, 31. Prime factorization of 7161 in exponential form is:

7161 = 3¹ × 7¹ × 11¹ × 31¹

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 7161

List of positive integer factors of 7161 that divides 7146 without a remainder.

1, 3, 7, 11, 21, 31, 33, 77, 93, 217, 231, 341, 651, 1023, 2387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7146 and 7161. The biggest common factor number is the GCF number.
So the greatest common factor 7146 and 7161 is 3.

Also check out the Least Common Multiple of 7146 and 7161